SJE főmenü
prof. László Szalay, DSc.
Név: prof. László Szalay, DSc.
Kar: Gazdaságtudományi és Informatikai Kar
Tanszék: Matematika Tanszék
Beosztás: Egyetemi tanár
Iroda: TP4
E-mail:
Telefon: +421 35 32 60 650
A tanulmányi program profiltantárgyáért felelős személy:
Matematika és informatika oktatásának elmélete - Matematika szak (3. szint, nappali képzés)

Egyetemi tanulmányok
ELTE
matematika-fizika-számítástechnika
1984 - 1989
Doktori képzés (PhD.)
KLTE
mathematics
1994 - 1997
Habilitáció
Debreceni Egyetem
matematika
2007
Professzori-inaugurációs folyamat
Soproni Egyetem
matematika
2016
DSc.
MTA
matematika
2015



Kutatási terület Matematika, számelmélet. Diofantikus egyenletek, lineáris rekurziók, kombinatorikau számelmélet, diszkrét iteráció

Kutatási projektek Számsorozatok sűrűsége, eloszlása és a konvergenciájuk tulajdonságai
VEGA 1/0776/21

2021 - 2023





A1 kategória - Tudományos monográfiaszerű könyv jellegű publikációk (AAA, AAB, ABA, ABB, ABC, ABD)
Bejegyzések száma: 0

A2 kategória - Egyéb könyv jellegű publikációk (ACA, ACB, BAA, BAB, BCB, BCI, EAI, CAA, CAB, EAJ, FAI)
Bejegyzések száma: 0

B kategória - Nemzetközi adatbázisban jegyzett folyóiratok, szerzői bozonylatok, szabadalmak és felfedezések (ADC, ADD, AEG, AEH, BDC, BDD, CDC, CDD, AGJ)
Bejegyzések száma: 9
ADC Külföldi karentált folyóiratokban megjelent tudományos munkák (9)

C kategória - Egyéb recenzált publikációk (ACC, ACD, ADE, ADF, AEC, AED, AFA, AFB, AFC, AFD, AFE, AFF, AFG, AFH, BBA, BBB, BCK, BDA, BDB, BDE, BDF, BEC, BED, BFA, BFB, BGH, CDE, CDF)
Bejegyzések száma: 2
ADE Külföldi nem karentált folyóiratokban megjelent tudományos munkák (1)
AFC Külföldi tudományos konferencián publikált cikkek (1)

N kategória - Egyéb nem recenzált publikációk (ADM, ADN, AEM, AEN, BDM, BDN, CBA, CBB)
Bejegyzések száma: 24
ADM A Web of Science vagy SCOPUS adatbázisban jegyzett külföldi folyóiratokban megjelent tudományos munkák (22)
ADN A Web of Science vagy SCOPUS adatbázisban jegyzett hazai folyóiratokban megjelent tudományos munkák (2)

D kategória - Egyéb - a SZKOM által meghatározott kategóriákon kívüli publikációk
Bejegyzések száma: 0

Bejegyzések száma összesen: 35

Hivatkozások:

[1] Nemzetközi (WoS vagy Scopus) adatbázisban jegyzett külföldi publikációkban megjelent hivatkozások, ill. bírálatok (3)
Összesen 3

Publikációk listája

ADC Külföldi karentált folyóiratokban megjelent tudományos munkák
Bejegyzések száma: 9


ADC 001 ALP, Murat, Nurettin IRMAK a László SZALAY. Balancing Diophantine triples with distance 1. DOI 10.1007/s10998-014-0074-8 Periodica Mathematica Hungarica. Vol. 71, no. 1 (2015), p. 1-10. ISSN 0031-5303. WoS, SCOPUS. IF (2014): 0,479. SNIP (2014): 0,830.

ADC 002 SZALAY, László a Volker ZIEGLER. S-diophantine quadruples with S = {2, q}. DOI 10.1142/S1793042115500475 International Journal of Number Theory. Vol. 11, no. 3 (2015), p. 849-868. ISSN 1793-0421. WoS, SCOPUS. IF (2014): 0,462. SNIP (2014): 0,857.

Hivatkozások:
2021  [1] FUCHS, C. - HEINTZE, S. Another s-unit variant of diophantine tuples. In Proceedings of the American Mathematical Society. ISSN 0002-9939, 2021, vol. 149, no. 1, p. 27-35. WoS ;SCOPUS



ADC 003 BELBACHIR, Hac`ene, László NÉMETH a László SZALAY. Hyperbolic Pascal triangles. DOI 10.1016/j.amc.2015.10.001 Applied Mathematics and Computation. Vol. 273, no. January (2016), p. 453-464. ISSN 0096-3003. CCC, WoS, SCOPUS. IF (2015): 1,436. SNIP (2014): 1,378.

ADC 004 LUCA, Florian, Amanda MONTEJANO, László SZALAY a Alain TOGBÉ. On the X-coordinates of Pell equations which are Tribonacci numbers. DOI 10.4064/aa8553-2-2017 Acta Arithemetica. Vol. 179, no. 1 (2017), p. 25-35. ISSN 0065-1036. WoS, SCOPUS. IF (2016): 0,563. SNIP (2015): 0,960.

Hivatkozások:
2020  [1] DDAMULIRA, M. On the X–coordinates of pell equations that are products of two padovan numbers. In Integers. ISSN 1553-1732, 2020, vol. 20. SCOPUS



ADC 005 KOMATSU, Takao, László NÉMETH a László SZALAY. Tilings of hyperbolic (2 x n)-board with colored squares and dominoes. DOI 10.26493/1855-3974.1470.e79 Ars Mathematica Contemporanea. Roč. 15, č. 2 (2018), s. 337-346 [print]. ISSN 1855-3966. WoS, SCOPUS.

Q WoS=Q3

ADC 006 BELBACHIR, Hac`ene, Abdelghani MEHDAOUI a László SZALAY. Diagonal sums in Pascal pyramid. DOI 10.1016/j.jcta.2019.01.007 Journal of combinatorial theory. Series A. Vol. 165 (2019), p. 106-116. ISSN 0097-3165. WoS, SCOPUS.

Q WoS=Q2

ADC 007 KAFLE, Bir, Florian LUCA, Amanda MONTEJANO, László SZALAY a Alain TOGBÉ. On the X-coordinates of Pell equations which are products of two Fibonacci numbers. DOI 10.1016/j.jnt.2019.03.011 Journal of Number Theory. Vol. 203 (2019), p. 310-333. ISSN 0022-314X. CCC, WoS, SCOPUS.

Q WoS=Q3

Hivatkozások:
2020  [1] DDAMULIRA, M. On the X–coordinates of pell equations that are products of two padovan numbers. In Integers. ISSN 1553-1732, 2020, vol. 20. SCOPUS



ADC 008 LIPTAI, Kálmán, László NÉMETHY, Gokhan SOYDAN a László SZALAY. Resolution of the Equation (3(x1)-1)(3(x2)-1) = (5(y1)-1)(5(y2)-1). DOI 10.1216/rmj.2020.50.1425 The Rocky Mountain Journal of Mathematics. Vol. 50, no. 4 (2020), p. 1425-1433. ISSN 0035-7596. CCC, WoS, SCOPUS.

Q WoS=Q3 Q Scopus=Q3

ADC 009 LUCA, Florian, Attila PETHŐ a László SZALAY. Duplications in the k-generalized Fibonacci sequences. NEW YORK JOURNAL OF MATHEMATICS. Vol. 27 (2021), p. 1115-1133. ISSN 1076-9803. CCC, WoS, SCOPUS.

Q WoS=Q4


ADE Külföldi nem karentált folyóiratokban megjelent tudományos munkák
Bejegyzések száma: 1


ADE 001 TAKAO, Komatsu a László SZALAY. q-multiparameter-Bernoulli Polynomials and q-multiparameter-Cauchy Polynomials by Jackson's Integrals. INTEGERS. online, vol. 16 (2016), p. [1-11]. ISSN 1553-1732.


ADM A Web of Science vagy SCOPUS adatbázisban jegyzett külföldi folyóiratokban megjelent tudományos munkák
Bejegyzések száma: 22


ADM 001 ALP, Murat, Nurettin IRMAK a László SZALAY. Reduced diophantine quadruples with the binary recurrence G(n) = AG(n-1) - G(n-2). DOI 10.1515/auom-2015-0022 Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica. Vol. 23, no. 2 (2015), p. 23-31. ISSN 1224-1784. WoS, SCOPUS. IF (2014): 0,333. SNIP (2014): 0,528.

ADM 002 NÉMETH, László a László SZALAY. Alternating sums in hyperbolic Pascal triangles. DOI 10.18514/MMN.2016. Miskolc Mathematical Notes. Vol. 17, no. 2 (2016), p. 989-998. ISSN 1787-2405. WoS, SCOPUS. IF (2015): 0,335. SNIP (2015): 1,203.

ADM 003 BELBACHIR, Hac`ene a László SZALAY. Fibonacci, and Lucas Pascal triangles. DOI 10.15672/HJMS.20164515688 Hacettepe Journal of Mathematics and Statistics. Vol. 45, no. 5 (2016), p. 1343-1354. ISSN 1303-5010. SCOPUS. SNIP (2015): 0,812.

ADM 004 KOMATSU, Takao, István MEZŐ a László SZALAY. Incomplete cauchy numbers. Acta Mathematica Hungarica. Vol. 149, no. 2 (2016), p. 306-323. ISSN 0236-5294. WoS. IF (2015): 0,469.

ADM 005 NÉMETH, László a László SZALAY. Recurrence sequences in the hyperbolic pascal triangle corresponding to the regular mosaic {4, 5}. Annales Mathematicae et Informaticae. Vol. 46 (2016), p. 165-173. ISSN 1787-5021. SCOPUS. SNIP (2015): 0,663.

ADM 006 NURETTIN, Irmak a László SZALAY. Tribonacci numbers close to the sum 2a + 3b + 5C. Mathematica Scandinavica. Vol. 118, no. 1 (2016), p. 27-32. ISSN 0025-5521. SCOPUS. SNIP (2014): 0,572.

ADM 007 LIPTAI, Kálmán, Gopal Krishna PANDA a László SZALAY. A balancing problem on a binary recurrence and its associate. Fibonacci Quarterly. Vol. 54, no. 3 (2016), p. 235-241. ISSN 0015-0517. WoS, SCOPUS. IF (2016): 0,233. SNIP (2016): 0,931.

ADM 008 KIMBERLING, Clark a László SZALAY. T-sion of two polynomial sequences and factorization properties. Fibonacci Quarterly. Vol. 54, no. 1 (2016), p. 3-10. ISSN 0015-0517. WoS, SCOPUS. IF (2016): 0,233. SNIP (2016): 0,931.

ADM 009 KIMBERLING, Clark, Takao KOMATSU, Kálmán LIPTAI a László SZALAY. A connection between hyper-fibonacci numbers and fissions of polynomial sequences. The Fibonacci quarterly = Fibonacci quarterly : a journal devoted to the study of integers with special properties. = Fibonacci quarterly Roč. 56, č. 3 (2018), s. 195-199. ISSN 0015-0517. SCOPUS.

ADM 010 KOMATSU, Takao a László SZALAY. A new formula for hyper-Fibonacci numbers, and the number of occurrences. DOI 10.3906/mat-1607-13 Turkish journal of mathematics. 42 3 (2018), 993-1004 [online]. ISSN 1300-0098. SCOPUS.

Q WoS=Q3

ADM 011 FUCHS, Clemens, Christoph HUTLE, Florian LUCA a László SZALAY. Diophantine Triples and k-Generalized Fibonacci Sequences. DOI 10.1007/s40840-016-0405-4 Bulletin of the Malaysian Mathematical Society. Roč. 41, č. 3 (2018), s. 1449-1465 [print]. ISSN 0126-6705. WoS, SCOPUS.

Q WoS=Q2

ADM 012 IRMAK, Nurettin, Kálmán LIPTAI a László SZALAY. Factorial-like values in the balancing sequence. Mathematical Communications. Roč. 23, č. 2 (2018), s. 197-204 [print]. ISSN 1331-0623. WoS.

Q WoS=Q2

ADM 013 KHADIR, Omar, László NÉMETH a László SZALAY. On sunlet graphs connected to a specific map on {1, 2, ..., p − 1}. DOI 10.33039/ami.2018.05.002 Annales Mathematicae et Informaticae. Vol. 49 (2018), p. 101-107. ISSN 1787-5021. SCOPUS.

ADM 014 SOYDAN, Gokhan, László NÉMETH a László SZALAY. On the diophantine equation ∑k j=1 jFj p = Fn q. DOI 10.5817/AM2018-3-177 Archivum mathematicum. Roč. 54, č. 3 (2018), s. 177-188 [print]. ISSN 0044-8753. WoS, SCOPUS.

ADM 015 NÉMETH, László a László SZALAY. Power sums in hyperbolic pascal triangles. DOI 10.2478/auom-2018-0012 Analele Stiintifice ale Universitatii Ovidius Constanta : Seria Matematica. 26 1 (2018), 189-203 [print]. ISSN 1224-1784. WoS, SCOPUS.

Q WoS=Q2

ADM 016 BELBACHIR, Hac`ene, Abdelghani MEHDAOUI a László SZALAY. Diagonal Sums in the Pascal Pyramid, II: Applications. Journal of Integer Sequences. Vol. 22, no. 3 (2019), p. 1-11. ISSN 1530-7638. WoS, SCOPUS.

ADM 017 IRMAK, Nurettin a László SZALAY. Lucas numbers of the form ((2t)(k)). DOI 10.12697/ACUTM.2019.23.06 Acta et Commentationes Universitatis Tartuensis de Mathematica. Vol.. 3, no. 1 (2019), p. 65-70. ISSN 1406-2283. WoS.

Q WoS=Q4

ADM 018 SZALAY, László. Computational algorithm for solving the diophantine equations 2n ± α · 2m + α2 = x2. Houston Journal of Mathematics. Vol. 46, no. 2 (2020), p. 295-306. ISSN 0362-1588. SCOPUS.

ADM 019 GUETH, Krisztián, Florian LUCA a László SZALAY. On a Diophantine equation involving powers of Fibonacci numbers. DOI 10.3792/PJAA.96.007 Proceedings of the Japan Academy : Series A, Mathematical Sciences. Vol. 96, no. 4 (2020), p. 33-37. ISSN 0386-2194. WoS, SCOPUS.

Q WoS=Q4

ADM 020 LUCA, Florian a László SZALAY. On the equation (2k −1)(3l −1) = 5m −1. Azerbaijan Journal of Mathematics. Vol. 10, no. 2 (2020), p. 3-11. ISSN 2218-6816. WoS, SCOPUS.

Q Scopus=Q3

ADM 021 LUCA, Florian, Prapanpong PONGSRIIAM a László SZALAY. On the divisibility Fk j F2 x + Fx +1. DOI 10.2306/scienceasia1513-1874.2021.005 ScienceAsia. Vol. 47, no. 1 (2021), p. 106-110. ISSN 1513-1874. WoS, SCOPUS.

Q WoS=Q4 Q Scopus=Q3

ADM 022 NÉMETH, László a László SZALAY. Sequences Involving Square Zig-Zag Shapes. Journal of Integer Sequences. Vol. 24, no. 5 (2021), art. no. 21.5.2, p. [1-13]. ISSN 1530-7638. WoS, SCOPUS.

Q Scopus=Q3


ADN A Web of Science vagy SCOPUS adatbázisban jegyzett hazai folyóiratokban megjelent tudományos munkák
Bejegyzések száma: 2


ADN 001 FUCHS, Clemens, Christoph HUTLE, Nurettin IRMAK, Florian LUCA a László SZALAY. Only finitely many Tribonacci Diophantine triples exist. DOI 10.1515/ms-2017-0015 Mathematica Slovaca. Vol. 67, no. 4 (2017), p. 853-862. ISSN 0139-9918. SCOPUS. SNIP (2016): 0,745.

ADN 002 GUETH, Károly a László SZALAY. The diophantine equations 2n ± 3 · 2m + 9 = x2. Acta Mathematica Universitatis Comenianae = Proceedings of Algoritmy Conference = Zborník Matematicko-fyzikálnej fakulty UK. = Proceedings of Algoritmy Conference Roč. 87, č. 2 (2018), s. 199-204. ISSN 0862-9544. SCOPUS.


AFC Külföldi tudományos konferencián publikált cikkek
Bejegyzések száma: 1


AFC 001 BELBACHIR, Hac`ene, László NÉMETH a László SZALAY. Properties of hyperbolic Pascal triangles. DOI 10.1063/1.4994434 AIP Conference Proceedings. Vol. 1867, art. no. 020031 (2017), p. [1-5]. ISSN 0094-243X. WoS, SCOPUS.





Menný zoznam publikácií:


V2 Vedecký výstup publikačnej činnosti ako časť editovanej knihy alebo zborníka

Počet výstupov: 2


V2_001 Németh, László, Szalay, László. Generalizations of the Fibonacci Sequence with Zig-Zag Walks [elektronický dokument]. DOI 10.1007/978-981-99-0447-1_26 In: Springer Proceedings in Mathematics and Statistics. Cham: Springer, 2023, s. 303-310. ISBN 9789819904464. ISSN 21941009. ISSN (online) 21941017. [angličtina]. - SCO


V2_002 Szalay, László. Explicit Formulae of Linear Recurrences [elektronický dokument]. DOI 10.1007/978-981-99-0447-1_23 In: Springer Proceedings in Mathematics and Statistics. Cham: Springer, 2023, s. 277-284. ISBN 9789819904464. ISSN 21941009. ISSN (online) 21941017. [angličtina]. - SCO


V3 Vedecký výstup publikačnej činnosti z časopisu

Počet výstupov: 13


V3_001 Belbachir, Hacène, Rami, Fella, Szalay, László. A generalization of hyperbolic Pascal triangles [elektronický dokument]. DOI 10.1016/j.jcta.2021.105574 In: Journal of combinatorial theory. Series A. Amsterdam: Elsevier, 2022, č. 188, art. no. 105574, s. 1-10 [tlačená forma]. ISSN 0097-3165. ISSN (online) 1096-0899. [angličtina]. - WOS CC ; SCO ; CCC


V3_002 Szalay, László, Ziegler, Volker. On an S-unit variant of Diophantine m-tuples [elektronický dokument]. DOI 10.5486/PMD.2013.5521 In: Publicationes mathematicae: Debrecen. Debrecín: Debreceni Egyetem. Természettudományi és Technológiai Kar. Matematikai Intézet, 2013, Roč. 83, č. 1-2, s. 97-121 [tlačená forma]. ISSN 0033-3883. ISSN (online) 2064-2849. [angličtina]. - WOS CC ; SCO


Ohlasy:

2021 [01/20] FUCHS, CLEMENS, HEINTZE, SEBASTIAN. Another s-unit variant of diophantine tuples [elektronický dokument]. DOI 10.1090/proc/15193 In: Proceedings of the American Mathematical Society. Providence: American Mathematical Society, 2021, Roč. 149, č. 1, s. 27-35 [tlačená forma] [online]. ISSN 0002-9939. ISSN (online) 1088-6826. - WOS CC ; SCO ; CCC


2019 [01/20] Luca, Florian. Diophantine S -quadruples with two primes which are twin [elektronický dokument]. DOI 10.1007/s10474-019-00942-5 In: Acta Mathematica Hungarica. Dordrecht: Springer Nature. Springer International Publishing AG, 2019, Roč. 159, č. 2, s. 589-602 [tlačená forma] [online]. ISSN 0236-5294. ISSN (online) 1588-2632. - SCO


2019 [01/20] Wu, Bing Ling. Sumsets with restricted number of prime factors [elektronický dokument]. DOI 10.1007/s10986-019-09441-0 In: Lithuanian mathematical journal. New York: Springer Nature, 2019, Roč. 59, č. 2, s. 251-260 [tlačená forma] [online]. ISSN 0363-1672. ISSN (online) 1573-8825. - WOS CC ; SCO


2017 [01/20] FUCHS, CLEMENS, Hajdu, Lajos. 30 years of collaboration:..between the Austrian Diophantine Number Theory research group and the Number Theory and Cryptography School of Debrecen [elektronický dokument]. DOI 10.1007/s10998-016-0158-8 In: Periodica Mathematica Hungarica: journal of the János Bolyai Mathematical Society. Berlín: Springer Nature. Springer International Publishing AG, 2017, Roč. 74, č. 2, s. 255-274 [tlačená forma]. ISSN 0031-5303. ISSN (online) 1588-2829. - WOS CC ; SCO ; CCC


V3_003 Komatsu, Takao, Szalay, László. Balancing with binomial coefficients [elektronický dokument]. DOI 10.1142/S1793042114500523 In: International Journal of Number Theory. Singapur: World Scientific Publishing, 2014, Roč. 10, č. 7, s. 1729-1742 [tlačená forma]. ISSN 1793-0421. ISSN (online) 1793-7310. [angličtina]. - WOS CC ; SCO ; CCC


Ohlasy:

2019 [01/20] Meng, Yuanyuan. A new identity involving balancing polynomials and balancing numbers [elektronický dokument]. DOI 10.3390/SYM11091141 In: Symmetry. Bazilej: Multidisciplinary Digital Publishing Institute, 2019, Roč. 11, č. 9, [online]. ISSN (online) 2073-8994. - WOS CC ; SCO ; CCC


2019 [01/20] Ray, Prasanta Kumar. Identities concerning k-balancing and k-lucas-balancing numbers of arithmetic indexes [elektronický dokument]. DOI 10.3934/math.2018.2.308 In: AIMS Mathematics. Springfield: American Institute of Mathematical Sciences, 2019, Roč. 4, č. 2, s. 308-315 [online]. ISSN (online) 2473-6988. - WOS CC ; SCO ; CCC


2019 [01/20] Dutta, Utkal Keshari, Ray, Prasanta Kumar. On arithmetic functions of balancing and lucas-balancing numbers [elektronický dokument] In: Mathematical Communications. Osijek: Sveučilište Josipa Jurja Strossmayera u Osijeku. Odjel za matematiku, 2019, Roč. 24, č. 1, s. 77-81 [tlačená forma] [online]. ISSN 1331-0623. ISSN (online) 1848-8013. - WOS CC ; SCO


2018 [01/20] Patel, Bijan Kumar, Ray, Prasanta Kumar. On the convergence of second-order recurrence series [elektronický dokument]. DOI 10.7546/nntdm.2018.24.4.120-127 In: NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS. Sofia: Balgarska akademiya na naukite, 2018, Roč. 24, č. 4, s. 120-127. ISSN 1310-5132. ISSN (online) 2367-8275. - WOS CC


2017 [01/20] Ray, Prasanta Kumar. On the properties of k-balancing and k-Lucas-balancing numbers [elektronický dokument]. DOI 10.12697/ACUTM.2017.21.18 In: Acta et Commentationes Universitatis Tartuensis de Mathematica, 2017, Roč. 21, č. 2, s. 259-274 [tlačená forma]. ISSN 1406-2283. ISSN (online) 2228-4699. - WOS CC


2017 [01/20] Ray, Prasanta Kumar. On the properties of κ-balancing and κ-Lucas-balancing numbers [elektronický dokument]. DOI 10.12697/ACUTM.2017.21.18 In: Acta et Commentationes Universitatis Tartuensis de Mathematica, 2017, Roč. 21, č. 2, s. 259-274 [tlačená forma]. ISSN 1406-2283. ISSN (online) 2228-4699. - SCO


2015 [01/20] Chern, Shane. A note on balancing binomial coefficients. DOI 10.3792/pjaa.91.110 In: Proceedings of the Japan Academy: Series A, Mathematical Sciences, 2015, Roč. 91, č. 8, s. 110-111 [tlačená forma]. ISSN 0386-2194. - WOS CC ; SCO


V3_004 Szalay, László. The equations 2(N) +/- 2(M) +/- 2(L) = z(2) [elektronický dokument]. DOI 10.1016/S0019-3577(02)90011-X In: Indagationes Mathematicae: the Journal is published on behalf of the Mathematical Sciences of the Royal Dutch Mathematical Society (KWG) Royal Dutch Mathematical Society, 2002, Roč. 13, č. 1, s. 131-142 [tlačená forma]. ISSN 0019-3577. ISSN (online) 1872-6100. [angličtina]. - WOS CC ; SCO


Ohlasy:

2022 [01/20] Moscariello, Alessio. On sparse perfect powers [elektronický dokument]. DOI 10.2140/moscow.2021.10.261 In: Moscow Journal of Combinatorics and Number Theory. California: Mathematical Sciences Publishers, 2022, Roč. 10, č. 4, s. 261-270. ISSN 22205438. ISSN (online) 26407361. - SCO


2021 [01/20] Erazo, Harold S., Gómez, Carlos A., Luca, Florian. On Pillai's problem with X -coordinates of Pell equations and powers of 2 II [elektronický dokument]. DOI 10.1142/S1793042121500871 In: International Journal of Number Theory. Singapur: World Scientific Publishing, 2021, Roč. 17, č. 10, s. 2251-2277 [tlačená forma]. ISSN 1793-0421. ISSN (online) 1793-7310. - WOS CC ; SCO ; CCC


2020 [01/20] Chim, Kwok Chi, Luca, Florian. Perfect squares representing the number of rational points on elliptic curves over finite field extensions [elektronický dokument]. DOI 10.1016/j.ffa.2020.101725 In: Finite Fields and their Applications. [s.l.]: Elsevier, 2020, Roč. 67. ISSN 10715797. ISSN (online) 10902465. - WOS CC ; SCO ; CCC


2018 [01/20] Bugeaud, Yann. On the digital representation of integers with bounded prime factors In: Osaka journal of mathematics. Tokyo: Books Kinokuniya, 2018, Roč. 55, č. 2, s. 315-324 [tlačená forma]. ISSN 0030-6126. - WOS CC ; SCO ; CCC


2018 [01/20] Bugeaud, Y. Linear Forms in Logarithms and Applications. DOI 10.4171/183 In: LINEAR FORMS IN LOGARITHMS AND APPLICATIONS. Zurich: European Mathematical Society, 2018, s. 1-224. ISBN 978-3-03719-183-5. - WOS CC


2017 [01/20] Bennett, Michael A., Scheerer, Adrian Maria. Squares with three nonzero digits. DOI 10.1007/978-3-319-55357-3_4 In: Number Theory - Diophantine Problems, Uniform Distribution and Applications: Festschrift in Honour of Robert F. Tichy's 60th Birthday. Cham : Springer Nature. Springer International Publishing AG, 2017, s. 83-108. ISBN 9783319553573. ISBN 9783319553566. - SCO


2015 [01/20] Scott, Reese, Styer, Robert. Bennett’s pillai theorem with fractional bases and negative exponents allowed [elektronický dokument]. DOI 10.5802/jtnb.902 In: Journal de théorie des nombres de Bordeaux. Talence: Université de Bordeaux 1 Centre de recherches mathématiques, 2015, Roč. 27, č. 1, s. 289-307 [tlačená forma]. ISSN 1246-7405. ISSN (online) 2118-8572. - WOS CC ; SCO ; CCC


2014 [01/20] Hajdu, Lajos, Pink, István. On the Diophantine equation 1 + <sup>2a</sup> + <sup>x b</sup> = <sup>y n</sup> [elektronický dokument]. DOI 10.1016/j.jnt.2014.03.010 In: Journal of Number Theory. Amsterdam: Elsevier, 2014, Roč. 143, s. 1-13 [tlačená forma]. ISSN 0022-314X. ISSN (online) 1096-1658. - SCO


2014 [01/20] Bennett, Michael A., Bugeaud, Yann. Perfect powers with three digits [elektronický dokument]. DOI 10.1112/S0025579313000107 In: Mathematika. Hoboken, NJ: John Wiley & Sons, 2014, Roč. 60, č. 1, s. 66-84. ISSN 00255793. ISSN (online) 20417942. - WOS CC ; SCO ; CCC


2013 [01/20] Bennett, Michael A., Bugeaud, Yann, Mignotte, Maurice. Perfect powers with few binary digits and related diophantine problems In: Annali della Scuola normale superiore di Pisa - Classe di scienze. Pisa: Scuola Normale Superiore, 2013, Roč. 12, č. 4, s. 941-953. ISSN 0391173X. - WOS CC ; SCO ; CCC


2012 [01/20] Bennett, Michael A., Bugeaud, Yann, Mignotte, Maurice. Perfect powers with few binary digits and related Diophantine problems, II [elektronický dokument]. DOI 10.1017/S0305004112000345 In: Mathematical proceedings of the Cambridge Philosophical Society, 2012, Roč. 153, č. 3, s. 525-540 [tlačená forma]. ISSN 0305-0041. ISSN (online) 1469-8064. - WOS CC ; SCO ; CCC


2012 [01/20] Ward, Harold N. Block designs with SDP parameters [elektronický dokument]. DOI 10.37236/2266 In: Electronic Journal of Combinatorics. Newark: University of Delaware. Department of Mathematical Sciences, 2012, Roč. 19, č. 3, [tlačená forma] [online]. ISSN 1077-8926. ISSN (online) 1097-1440. - SCO ; CCC


2009 [01/20] Fuchs, Clemens. POLYNOMIAL-EXPONENTIAL EQUATIONS INVOLVING MULTI-RECURRENCES [elektronický dokument]. DOI 10.1556/SScMath.2009.1098 In: Studia Scientiarum Mathematicarum Hungarica: auxilio Consilii Instituti Mathematici Academiae Scientiarum Hungaricae: a Quarterly of the Hungarian Academy of Sciences, 2009, Roč. 46, č. 3, s. 377-398 [tlačená forma]. ISSN 0081-6906. ISSN (online) 1588-2896. - WOS CC


2008 [01/20] Arenas-Carmona, L., Berend, D., Bergelson, V. Ledrappier's system is almost mixing of all orders [elektronický dokument]. DOI 10.1017/S0143385707000727 In: Ergodic theory & dynamical systems. New York: Cambridge University Press, 2008, Roč. 28, č. 2, s. 339-365 [tlačená forma] [online]. ISSN 0143-3857. ISSN (online) 1469-4417. - WOS CC ; SCO ; CCC


2006 [01/20] Scott, Reese, Styer, Robert. On the generalized Pillai equation ± a<sup>x</sup> ± b<sup>y</sup> = c [elektronický dokument]. DOI 10.1016/j.jnt.2005.09.001 In: Journal of Number Theory. Amsterdam: Elsevier, 2006, Roč. 118, č. 2, s. 236-265 [tlačená forma]. ISSN 0022-314X. ISSN (online) 1096-1658. - SCO


2006 [01/20] Luca, Florian. Arithmetic properties of positive integers with fixed digit sum. DOI 10.4171/RMI/461 In: Revista matemática iberoamericana, 2006, Roč. 22, č. 2, s. 369-412 [tlačená forma]. ISSN 0213-2230. - SCO ; CCC


2004 [01/20] Luca, Florian. The diophantine equation x<sup>2</sup> = p<sup>a</sup> ± p <sup>b</sup> + 1 [elektronický dokument]. DOI 10.4064/aa112-1-6 In: Acta Arithmetica. Warszawa: Polska Akademia Nauk. Instytut Matematyczny, 2004, Roč. 112, č. 1, s. 87-101 [tlačená forma]. ISSN 0065-1036. ISSN (online) 1730-6264. - SCO


2003 [01/20] Luca, Florian. On the diophantine equation p<sup>x1</sup>- p<sup>x2</sup> =q<sup>y1</sup> -q<sup>y2</sup> [elektronický dokument]. DOI 10.1016/S0019-3577(03)90005-X In: Indagationes Mathematicae: the Journal is published on behalf of the Mathematical Sciences of the Royal Dutch Mathematical Society (KWG) Royal Dutch Mathematical Society, 2003, Roč. 14, č. 2, s. 207-222 [tlačená forma]. ISSN 0019-3577. ISSN (online) 1872-6100. - SCO


V3_005 Nemeth, Laszlo, Szalay, László. Properties of Motzkin triangle and t-generalized Motzkin sequences [elektronický dokument]. DOI 10.1007/s00010-021-00864-0 In: Aequationes mathematicae. Cham: Springer Nature, 2022, Roč. 96, č. 3, s. 701-721 [tlačená forma]. ISSN 0001-9054. ISSN (online) 1420-8903. [angličtina]. - WOS CC ; SCO ; CCC


V3_006 Hashim, Hayder R., Szalay, László, Tengely, Szabolcs. Markoff-Rosenberger triples and generalized Lucas sequences [elektronický dokument]. DOI 10.1007/s10998-021-00430-w In: Periodica Mathematica Hungarica: journal of the János Bolyai Mathematical Society. Berlín: Springer Nature. Springer International Publishing AG, 2022, Roč. 85, č. 1, s. 188-202 [tlačená forma]. ISSN 0031-5303. ISSN (online) 1588-2829. [angličtina]. - WOS CC ; SCO ; CCC


V3_007 Luca, Florian, Szalay, László. Diophantine triples with distinct binary recurrences [elektronický dokument]. DOI 10.37193/CJM.2023.01.17 In: Carpathian journal of mathematics. Veľká Baňa: Universitatii Tehnice din Cluj-Napoca. Centrul Universitar Nord din Baia Mare. Facultatea de Ştiinţe, 2023, Roč. 39, č. 1, s. 255-264 [tlačená forma] [online]. ISSN 1584-2851. ISSN (online) 1843-4401. [angličtina]. - WOS CC ; SCO


V3_008 Pethő, Attila, Szalay, László. Upper bound on the solution to Fn(2κ) = ±Fm(2κ) with negative subscripts [elektronický dokument]. DOI 10.15446/recolma.v56n2.108374 In: Revista colombiana de matemáticas. Bogotá: Universidad Nacional de Colombia, 2022, Roč. 56, č. 2, s. 179-187 [tlačená forma]. ISSN 0034-7426. ISSN (online) 2357-4100. [angličtina]. - SCO


V3_009 Filipin, Alan, Szalay, László. Triangular Diophantine Tuples from {1, 2} [elektronický dokument]. DOI 10.21857/ygjwrcp48y In: RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI. Zahreb: Croatian academy of sciences and arts, 2023, Roč. 27, č. 555, s. 55-70. ISSN 1845-4100. ISSN (online) 1849-2215. [angličtina]. - WOS CC


V3_010 Acikel, Abdullah, Irmak, Nurettin, Szalay, László. The k-Generalized Lucas Numbers Close to a Power of 2 [elektronický dokument]. DOI 10.1515/ms-2023-0064 In: Mathematica Slovaca. Berlín: De Gruyter, 2023, Roč. 73, č. 4, s. 871-882 [tlačená forma] [online]. ISSN 0139-9918. ISSN (online) 1337-2211. [angličtina]. - WOS CC ; SCO


V3_011 Mufid, Muhammad Syifa’ul, Szalay, László. Interpolation polynomials associated to linear recurrences [elektronický dokument]. DOI 10.55730/1300-0098.3473 In: Turkish Journal of Mathematics. Ankara: Scientific and Technical Research Council of Turkey, 2023, Roč. 47, č. 7, s. 1932-1943 [tlačená forma] [online]. ISSN 1300-0098. ISSN (online) 1303-6149. [angličtina]. - SCO


V3_012 Liptai, Kálmán Csaba, Szalay, László. Distribution Generated by a Random Inhomogenous Fibonacci Sequence [elektronický dokument]. DOI 10.1007/s00009-023-02563-3 In: Mediterranean Journal of Mathematics. Basel: De Gruyter. Birkhäuser, 2024, Roč. 21, č. 1, art. no. 36, s. 1-17 [tlačená forma] [online]. ISSN 1660-5446. ISSN (online) 1660-5454. [angličtina]. - WOS CC ; SCO ; CCC


V3_013 Győry, Kálmán, Pethő, Attila, Szalay, László. Decomposable Forms Generated by Linear Recurrences In: Journal of Integer Sequences. Waterloo: University of Waterloo, 2024, Roč. 27, č. 3, art. no. 24.3.5, s. [1-17]. ISSN 1530-7638. https://cs.uwaterloo.ca/journals/JIS/. [angličtina]. - WOS CC ; SCO


ADC Vedecké práce v zahraničných karentovaných časopisoch

Počet výstupov: 9


ADC_001 Komatsu, Takao, Németh, László, Szalay, László. Tilings of hyperbolic (2 x n)-board with colored squares and dominoes [elektronický dokument]. DOI 10.26493/1855-3974.1470.e79 In: Ars Mathematica Contemporanea. Koper: Društvo matematikov, fizikov in astronomov Slovenije, 2018, Roč. 15, č. 2, s. 337-346 [tlačená forma] [online]. ISSN 1855-3966. ISSN (online) 1855-3974. [angličtina]. - WOS CC ; SCO ; CCC


ADC_002 Belbachir, Hacéne, Mehdaoui, Abdelghani, Szalay, László. Diagonal sums in Pascal pyramid [elektronický dokument]. DOI 10.1016/j.jcta.2019.01.007 In: Journal of combinatorial theory. Series A. Amsterdam: Elsevier, 2019, č. 165, s. 106-116 [tlačená forma]. ISSN 0097-3165. ISSN (online) 1096-0899. [angličtina]. - WOS CC ; SCO ; CCC


ADC_003 Kafle, Bir, Luca, Florian, Montejano, Amanda, Szalay, László, Togbé, Alain. On the X-coordinates of Pell equations which are products of two Fibonacci numbers [elektronický dokument]. DOI 10.1016/j.jnt.2019.03.011 In: Journal of Number Theory. Amsterdam: Elsevier, 2019, č. 203, s. 310-333 [tlačená forma]. ISSN 0022-314X. ISSN (online) 1096-1658. [angličtina]. - WOS CC ; SCO ; CCC


Ohlasy:

2022 [01/20] Hajdu, L., Sebestyén, P. Terms of recurrence sequences in the solution sets of generalized Pell equations [elektronický dokument]. DOI 10.1142/S1793042122500816 In: International Journal of Number Theory. Singapur: World Scientific Publishing, 2022, [tlačená forma]. ISSN 1793-0421. ISSN (online) 1793-7310. - SCO


2021 [01/20] Erazo, Harold S., Gómez, Carlos A. An exponential Diophantine equation related to the sum of powers of two consecutive terms of a Lucas sequence and x-coordinates of Pell equations [elektronický dokument]. DOI 10.1007/s10998-021-00388-9 In: Periodica Mathematica Hungarica: journal of the János Bolyai Mathematical Society. Berlín: Springer Nature. Springer International Publishing AG, 2021, Roč. 83, č. 2, s. 165-184 [tlačená forma]. ISSN 0031-5303. ISSN (online) 1588-2829. - WOS CC ; SCO ; CCC


2020 [01/20] Ddamulira, Mahadi. On the X-coordinates of pell equations that are products of two lucas numbers In: The Fibonacci quarterly: a journal devoted to the study of integers with special properties. SantaClara: Fibonacci Association, 2020, Roč. 58, č. 1, s. 18-37 [tlačená forma]. ISSN 0015-0517. - WOS CC ; SCO


2020 [01/20] Ddamulira, Mahadi. On the X–coordinates of pell equations that are products of two padovan numbers [elektronický dokument] In: Integers. Hamilton: Colgate University, 2020, Roč. 20, s. 1-20 [online]. ISSN (online) 1553-1732. - SCO


ADC_004 Liptai, Kálmán Csaba, Németh, László, Soydan, Gokhan, Szalay, László. Resolution of the Equation (3(x1)-1)(3(x2)-1) = (5(y1)-1)(5(y2)-1) [elektronický dokument]. DOI 10.1216/rmj.2020.50.1425 In: Rocky Mountain Journal of Mathematics. Provo: Rocky Mountain Mathematics Consortium, 2020, Roč. 50, č. 4, s. 1425-1433 [tlačená forma] [online]. ISSN 0035-7596. ISSN (online) 1945-3795. https://www.webofscience.com/wos/ccc/full-record/CCC:000576337600017. [angličtina]. - WOS CC ; SCO ; CCC


ADC_005 Luca, Florian, Petho, Attila, Szalay, László. Duplications in the k-generalized Fibonacci sequences In: New York journal of mathematics. New York: State University of New York at Albany, 2021, Roč. 27, č. July 24, 1115-1133 [online]. ISSN 1076-9803. https://nyjm.albany.edu/j/2021/27-44v.pdf. https://nyjm.albany.edu/j/2021/27-44.html. [angličtina]. - WOS CC ; SCO ; CCC


ADC_006 Alp, Murat, Irmak, Nurettin, Szalay, László. Balancing Diophantine triples with distance 1 [elektronický dokument]. DOI 10.1007/s10998-014-0074-8 In: Periodica Mathematica Hungarica: journal of the János Bolyai Mathematical Society. Berlín: Springer Nature. Springer International Publishing AG, 2015, Roč. 71, č. 1, s. 1-10 [tlačená forma]. ISSN 0031-5303. ISSN (online) 1588-2829. [angličtina]. - CCC


ADC_007 Szalay, László, Ziegler, Volker. S-diophantine quadruples with S = {2, q} [elektronický dokument]. DOI 10.1142/S1793042115500475 In: International Journal of Number Theory. Singapur: World Scientific Publishing, 2015, Roč. 11, č. 3, s. 849-868 [tlačená forma]. ISSN 1793-0421. ISSN (online) 1793-7310. [angličtina]. - CCC


Ohlasy:

2021 [01/12] FUCHS, C. - HEINTZE, S. Another s-unit variant of diophantine tuples. In Proceedings of the American Mathematical Society. ISSN 0002-9939, 2021, vol. 149, no. 1, p. 27-35.. [s.l.] : [s.n.], 2021


ADC_008 Belbachir, Hac`ene, Németh, László, Szalay, László. Hyperbolic Pascal triangles [elektronický dokument]. DOI 10.1016/j.amc.2015.10.001 In: Applied Mathematics and Computation. Amsterdam: Elsevier, 2016, č. 273, s. 453-464 [tlačená forma] [online]. ISSN 0096-3003. ISSN (online) 1873-5649. [angličtina]. - CCC


ADC_009 Luca, Florian, Montejano, Amanda, Szalay, László, Togbé, Alain. On the X-coordinates of Pell equations which are Tribonacci numbers [elektronický dokument]. DOI 10.4064/aa8553-2-2017 In: Acta Arithmetica. Warszawa: Polska Akademia Nauk. Instytut Matematyczny, 2017, Roč. 179, č. 1, s. 25-35 [tlačená forma]. ISSN 0065-1036. ISSN (online) 1730-6264. [angličtina]. - CCC


Ohlasy:

2020 [01/12] DDAMULIRA, M. On the X–coordinates of pell equations that are products of two padovan numbers. In Integers. ISSN 1553-1732, 2020, vol. 20.. [s.l.] : [s.n.], 2020


ADE Vedecké práce v ostatných zahraničných časopisoch

Počet výstupov: 1


ADE_001 Takao, Komatsu, Szalay, László. q-multiparameter-Bernoulli Polynomials and q-multiparameter-Cauchy Polynomials by Jackson's Integrals [elektronický dokument] In: Integers. Hamilton: Colgate University, 2017, č. 16, s. 1-11 [online]. ISSN (online) 1553-1732. [angličtina]


ADM Vedecké práce v zahraničných časopisoch registrovaných v databázach Web of Science alebo SCOPUS

Počet výstupov: 22


ADM_001 Komatsu, Takao, Szalay, László. A new formula for hyper-Fibonacci numbers, and the number of occurrences [elektronický dokument]. DOI 10.3906/mat-1607-13 In: Turkish Journal of Mathematics. Ankara: Scientific and Technical Research Council of Turkey, 2018, Roč. 42, č. 3, s. 993-1004 [tlačená forma] [online]. ISSN 1300-0098. ISSN (online) 1303-6149. [angličtina]. - SCO


Ohlasy:

2022 [01/20] Catarino, Paula, Alves, Francisco R.V., Campos, Helena. On hyper k-PELL, hyper k-PELL-Lucas and hyper modified k-PELL sequences [elektronický dokument] In: Integers. Hamilton: Colgate University, 2022, Roč. 22, [online]. ISSN (online) 1553-1732. [angličtina]. - SCO


2018 [01/20] Belbachir, Hacène, Belkhir, Amine. On some generalizations of Horadam’s numbers [elektronický dokument]. DOI 10.2298/FIL1814037B In: Filomat. Niš: Univerzitet u Nišu, 2018, Roč. 32, č. 14, s. 5037-5052 [tlačená forma] [online]. ISSN 0354-5180. ISSN (online) 2406-0933. [angličtina]. - WOS CC ; SCO


ADM_002 Németh, László, Szalay, László. Power sums in hyperbolic pascal triangles [elektronický dokument]. DOI 10.2478/auom-2018-0012 In: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018, Roč. 26, č. 1, s. 189-203 [tlačená forma]. ISSN 1224-1784. ISSN (online) 1844-0835. [angličtina]. - WOS CC ; SCO


ADM_003 Kimberling, Clark, Komatsu, Takao, Liptai, Kálmán, Szalay, László. A connection between hyper-fibonacci numbers and fissions of polynomial sequences In: The Fibonacci quarterly: a journal devoted to the study of integers with special properties. SantaClara: Fibonacci Association, 2018, Roč. 56, č. 3, s. 195-199 [tlačená forma]. ISSN 0015-0517. [angličtina]. - SCO


ADM_004 Soydan, Gokhan, Németh, László, Szalay, László. On the diophantine equation ∑k j=1 jFj p = Fn q [elektronický dokument]. DOI 10.5817/AM2018-3-177 In: Archivum Mathematicum. Brno: Masarykova univerzita. Přírodovědecká fakulta, 2018, Roč. 54, č. 3, s. 177-188 [tlačená forma] [online]. ISSN 0044-8753. ISSN (online) 1212-5059. https://www.scopus.com/record/display.uri?eid=2-s2.0-85053074783&origin=resultslist. http://ws.isiknowledge.com/cps/openurl/service?url_ver=Z39.88-2004&rft_id=info:ut/WOS:000441100400005. [angličtina]. - WOS CC ; SCO


ADM_005 Fuchs, Clemens, Hutle, Christoph, Luca, Florian, Szalay, László. Diophantine Triples and k-Generalized Fibonacci Sequences [elektronický dokument]. DOI 10.1007/s40840-016-0405-4 In: Bulletin of the Malaysian Mathematical Society. KualaLumpur: Malaysian Mathematical Society, 2018, Roč. 41, č. 3, s. 1449-1465 [tlačená forma] [online]. ISSN 0126-6705. ISSN (online) 2180-4206. [angličtina]. - WOS CC ; SCO


Ohlasy:

2022 [01/20] Fuchs, Clemens, Heintze, Sebastian. A polynomial variant of diophantine triples in linear recurrences [elektronický dokument]. DOI 10.1007/s10998-022-00460-y In: Periodica Mathematica Hungarica: journal of the János Bolyai Mathematical Society. Berlín: Springer Nature. Springer International Publishing AG, 2022, [tlačená forma]. ISSN 0031-5303. ISSN (online) 1588-2829. - WOS CC ; SCO


2018 [01/20] Gueth, Krisztian. Diophantine triples in a Lucas-Lehmer sequence [elektronický dokument]. DOI 10.33039/ami.2018.08.001 In: Annales Mathematicae et Informaticae. Eger: EKF Líceum Kiadó, 2018, Roč. 49, s. 85-100 [tlačená forma]. ISSN 1787-5021. ISSN (online) 1787-6117. - WOS CC ; SCO


2017 [01/20] Sanna, Carlo. The quotient set of k-generalised fibonacci numbers is dense in Q<inf>p</inf> [elektronický dokument]. DOI 10.1017/S0004972716001118 In: Bulletin of the Australian Mathematical Society, 2017, Roč. 96, č. 1, s. 24-29 [tlačená forma]. ISSN 0004-9727. ISSN (online) 1755-1633. - WOS CC ; SCO


ADM_006 Irmak, Nurettin, Liptai, Kálmán, Szalay, László. Factorial-like values in the balancing sequence [elektronický dokument] In: Mathematical Communications. Osijek: Sveučilište Josipa Jurja Strossmayera u Osijeku. Odjel za matematiku, 2018, Roč. 23, č. 2, s. 197-204 [tlačená forma] [online]. ISSN 1331-0623. ISSN (online) 1848-8013. [angličtina]. - WOS CC


ADM_007 Khadir, Omar, Németh, László, Szalay, László. On sunlet graphs connected to a specific map on {1, 2, ..., p − 1} [elektronický dokument]. DOI 10.33039/ami.2018.05.002 In: Annales Mathematicae et Informaticae. Eger: EKF Líceum Kiadó, 2018, č. 49, s. 101-107 [tlačená forma]. ISSN 1787-5021. ISSN (online) 1787-6117. [angličtina]. - SCO


ADM_008 Belbachir, Hacéne, Mehdaoui, Abdelghani, Szalay, László. Diagonal Sums in the Pascal Pyramid, II: Applications In: Journal of Integer Sequences. Waterloo: University of Waterloo, 2019, Roč. 22, č. 3, s. 1-11. ISSN 1530-7638. https://www.scopus.com/record/display.uri?eid=2-s2.0-85070113021&origin=resultslist. https://www.webofscience.com/wos/woscc/full-record/WOS:000468537400005. [angličtina]. - WOS CC ; SCO


ADM_009 Irmak, Nurettin, Szalay, László. Lucas numbers of the form ((2t)(k)) [elektronický dokument]. DOI 10.12697/ACUTM.2019.23.06 In: Acta et Commentationes Universitatis Tartuensis de Mathematica, 2019, Roč. 3, č. 1, s. 65-70 [tlačená forma]. ISSN 1406-2283. ISSN (online) 2228-4699. https://www.webofscience.com/wos/woscc/full-record/WOS:000481498100006. [angličtina]. - WOS CC


ADM_010 Gueth, Krisztián, Luca, Florian, Szalay, László. On a Diophantine equation involving powers of Fibonacci numbers. DOI 10.3792/PJAA.96.007 In: Proceedings of the Japan Academy: Series A, Mathematical Sciences, 2020, Roč. 96, č. 4, s. 33-37 [tlačená forma]. ISSN 0386-2194. https://projecteuclid.org/journalArticle/Download?urlId=10.3792%2Fpjaa.96.007. [angličtina]. - WOS CC ; SCO


ADM_011 Luca, Florian, Szalay, László. On the equation (2k −1)(3l −1) = 5m −1 [elektronický dokument] In: Azerbaijan Journal of Mathematics. Baku: Institute of Mathematics and Mechanics NAS of Azerbaijan, 2020, Roč. 10, č. 2, s. 3-11 [tlačená forma] [online]. ISSN 2218-6816. ISSN (online) 2221-9501. https://www.webofscience.com/wos/woscc/full-record/WOS:000574570900001. https://azjm.org/volumes/1002/pdf/1002-1.pdf. [angličtina]. - WOS CC ; SCO


ADM_012 Szalay, László. Computational algorithm for solving the diophantine equations 2n ± α · 2m + α2 = x2 In: Houston Journal of Mathematics. Houston: University of Houston, 2020, Roč. 46, č. 2, s. 295-306. ISSN 0362-1588. [angličtina]. - SCO


ADM_013 Luca, Florian, Pongsriiam, Prapanpong, Szalay, László. On the divisibility Fk j F2 x + Fx +1. DOI 10.2306/scienceasia1513-1874.2021.005 In: ScienceAsia. Bangkok: Thailand Science Sociaty, 2021, Roč. 47, č. 1, 106-110. ISSN 1513-1874. [angličtina]. - WOS CC ; SCO


ADM_014 Németh, László, Szalay, László. Sequences Involving Square Zig-Zag Shapes In: Journal of Integer Sequences. Waterloo: University of Waterloo, 2021, Roč. 24, č. 5, art. no. 21.5.2, s. 1-13. ISSN 1530-7638. https://www.webofscience.com/wos/woscc/full-record/WOS:000659222300002. https://www.scopus.com/record/display.uri?eid=2-s2.0-85109012703&origin=resultslist. [angličtina]. - WOS CC ; SCO


ADM_015 Alp, Murat, Irmak, Nurettin, Szalay, László. Reduced diophantine quadruples with the binary recurrence G(n) = AG(n-1) - G(n-2) [elektronický dokument]. DOI 10.1515/auom-2015-0022 In: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015, Roč. 23, č. 2, s. 23-31 [tlačená forma]. ISSN 1224-1784. ISSN (online) 1844-0835. [angličtina]


ADM_016 Nurettin, Irmak, Szalay, László. Tribonacci numbers close to the sum 2a + 3b + 5C In: Mathematica scandinavica. Aarhus: Dansk Matematisk Forening, 2016, Roč. 118, č. 1, s. 27-32 [tlačená forma]. ISSN 0025-5521. [angličtina]


ADM_017 Komatsu, Takao, Mező, István, Szalay, László. Incomplete cauchy numbers [elektronický dokument] In: Acta Mathematica Hungarica. Dordrecht: Springer Nature. Springer International Publishing AG, 2016, Roč. 149, č. 2, s. 306-323 [tlačená forma] [online]. ISSN 0236-5294. ISSN (online) 1588-2632. [angličtina]. - WOS CC


ADM_018 Belbachir, Hac`ene, Szalay, László. Fibonacci,and Lucas Pascal triangles. DOI 10.15672/HJMS.20164515688 In: Hacettepe Journal of Mathematics and Statistics, 2016, Roč. 45, č. 5, s. 1343-1354 [tlačená forma]. ISSN 1303-5010. [angličtina]


ADM_019 Németh, László, Szalay, László. Recurrence sequences in the hyperbolic pascal triangle corresponding to the regular mosaic {4, 5} [elektronický dokument] In: Annales Mathematicae et Informaticae. Eger: EKF Líceum Kiadó, 2016, č. 46, s. 165-173 [tlačená forma]. ISSN 1787-5021. ISSN (online) 1787-6117. [angličtina]


ADM_020 Németh, László, Szalay, László. Alternating sums hyperbolic Pascal triangles [elektronický dokument]. DOI 10.18514/MMN.2016. In: Miskolc Mathematical Notes. Miskolc: Miskolci Egyetem, 2016, Roč. 17, č. 2, s. 989-998 [tlačená forma] [online]. ISSN 1787-2405. ISSN (online) 1787-2413. [angličtina]. - WOS CC


ADM_021 Kimberling, Clark, Szalay, László. T-sion of two polynomial sequences and factorization properties In: The Fibonacci quarterly: a journal devoted to the study of integers with special properties. SantaClara: Fibonacci Association, 2016, Roč. 54, č. 1, s. 3-10 [tlačená forma]. ISSN 0015-0517. [angličtina]. - WOS CC


ADM_022 Liptai, Kálmán, Panda, Gopal Krishna, Szalay, László. A balancing problem on a binary recurrence and its associate In: The Fibonacci quarterly: a journal devoted to the study of integers with special properties. SantaClara: Fibonacci Association, 2016, Roč. 54, č. 3, s. 235-241 [tlačená forma]. ISSN 0015-0517. [angličtina]


ADN Vedecké práce v domácich časopisoch registrovaných v databázach Web of Science alebo SCOPUS

Počet výstupov: 2


ADN_001 Gueth, Károly, Szalay, László. The diophantine equations 2n ± 3 · 2m + 9 = x2 [elektronický dokument] In: Acta Mathematica Universitatis Comenianae. Bratislava: Univerzita Komenského v Bratislave. Fakulta matematiky, fyziky a informatiky UK, 2018, Roč. 87, č. 2, s. 199-204 [tlačená forma] [online]. ISSN 0862-9544. ISSN (online) 1336-0310. ISSN (zrušené) 0231-6986. https://www.scopus.com/record/display.uri?eid=2-s2.0-85061150413&origin=resultslist. [angličtina]. - SCO


ADN_002 Fuchs, Clemens, Hutle, Christoph, Irmak, Nurettin, Luca, Florian, Szalay, László. Only finitely many Tribonacci Diophantine triples exist [elektronický dokument]. DOI 10.1515/ms-2017-0015 In: Mathematica Slovaca. Berlín: De Gruyter, 2017, Roč. 67, č. 4, s. 853-862 [tlačená forma] [online]. ISSN 0139-9918. ISSN (online) 1337-2211. [angličtina]


AFC Publikované príspevky na zahraničných vedeckých konferenciách

Počet výstupov: 1


AFC_001 Belbachir, Hac`ene, Németh, László, Szalay, László. Properties of hyperbolic Pascal triangles. DOI 10.1063/1.4994434 In: AIP Conference Proceedings. [s.l.]: AIP American Institute of Physics Inc., 2017, s. 1-5. ISBN 978-073541547-8. ISSN 0094-243X. [angličtina]





 

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