Edit Profile (opens in new tab) Szalay, László Co-Author Distance Author ID: szalay.laszlo Published as: Szalay, László; Szalay, L.; Szalay, Laszlo more...less External Links: MGP Documents Indexed: 100 Publications since 1992, including 3 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 48 Co-Authors with 87 Joint Publications 1,471 Co-Co-Authors all top 5 Co-Authors 14 single-authored 22 Luca, Florian 13 Németh, László 12 Belbachir, Hacene 12 Irmak, Nurettin 11 Liptai, Kálmán 10 Komatsu, Takao 4 Alp, Murat 4 Khadir, Omar 3 Fuchs, Clemens 3 Gueth, Krisztián 3 Montejano, Amanda 3 Pethő, Attila 3 Togbé, Alain 3 Ziegler, Volker 2 Hutle, Christoph 2 Kimberling, Clark H. 2 Mehdaoui, Abdelghani 2 Panda, Gopal Krishna 2 Soydan, Gokhan 1 Acikel, Abdullah 1 Atanassov, Krassimir Todorov 1 Banks, William David 1 Behera, Akrur 1 Bencherif, Farid 1 Brindza, Béla 1 Chu, Hùng Việt 1 De Koninck, Jean-Marie 1 Filipin, Alan 1 Győry, Kálmán 1 Hajdu, Lajos 1 Hashim, Hayder Raheem 1 Herendi, Tamás 1 Kafle, Bir 1 Khadira, Omar 1 Knott, Ron 1 Lan, Li 1 Major, László 1 Mátyás, Ferenc 1 Mező, István 1 Miller, Steven J. 1 Ozeki, Kiyota 1 Pahikkala, Anna 1 Pintér, Ákos 1 Rami, Fella 1 Shannon, Anthony Greville 1 Temesvári, Ágota H. 1 Tengely, Szabolcs 1 Zhang, Sindy Xin all top 5 Serials 8 The Fibonacci Quarterly 7 Annales Mathematicae et Informaticae 5 Periodica Mathematica Hungarica 5 Publicationes Mathematicae Debrecen 5 Journal of Integer Sequences 4 Acta Academiae Paedagogicae Agriensis. Nova Series. Sectio Matematicae 3 Mathematica Slovaca 3 Integers 2 Journal of Combinatorial Theory. Series A 2 Revista Colombiana de Matemáticas 2 Acta Mathematica Universitatis Comenianae. New Series 2 Aequationes Mathematicae 2 Glasnik Matematički. Serija III 2 Indagationes Mathematicae. New Series 2 Turkish Journal of Mathematics 2 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 2 International Journal of Number Theory 2 Acta Universitatis Sapientiae. Mathematica 1 Houston Journal of Mathematics 1 Lithuanian Mathematical Journal 1 Rocky Mountain Journal of Mathematics 1 Beiträge zur Algebra und Geometrie 1 Acta Arithmetica 1 Annales des Sciences Mathématiques du Québec 1 Applied Mathematics and Computation 1 Archivum Mathematicum 1 Glasgow Mathematical Journal 1 Journal of Number Theory 1 Mathematica Scandinavica 1 Proceedings of the Japan Academy. Series A 1 Bulletin of the Greek Mathematical Society 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Acta Mathematica Hungarica 1 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 1 A Berzsenyi Dániel Tanárképzö Föiskola Tudományos Közleményei. Természettudományok 1 The Electronic Journal of Combinatorics 1 The New York Journal of Mathematics 1 Mathematical Communications 1 Journal of Interdisciplinary Mathematics 1 East-West Journal of Mathematics 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Portugaliae Mathematica. Nova Série 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Hacettepe Journal of Mathematics and Statistics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Miskolc Mathematical Notes 1 Carpathian Journal of Mathematics 1 Šiauliai Mathematical Seminar 1 Acta Mathematica Universitatis Ostraviensis 1 Uniform Distribution Theory 1 Ars Mathematica Contemporanea 1 Armenian Journal of Mathematics 1 Azerbaijan Journal of Mathematics all top 5 Fields 100 Number theory (11-XX) 23 Combinatorics (05-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 70 Publications have been cited 345 times in 214 Documents Cited by ▼ Year ▼ Generalized balancing numbers. Zbl 1239.11035 Liptai, Kálmán; Luca, Florian; Pintér, Ákos; Szalay, László 17 2009 A discrete iteration in number theory. Zbl 0801.11011 Szalay, László 17 1992 Incomplete Cauchy numbers. Zbl 1389.11059 Komatsu, T.; Mező, I.; Szalay, L. 17 2016 The equations \(2^N\pm 2^M\pm 2^L=z^2\). Zbl 1014.11022 Szalay, László 16 2002 On the arithmetic triangles. Zbl 1309.05012 Belbachir, Hacéne; Szalay, László 16 2014 Linear recurrences associated to rays in Pascal’s triangle and combinatorial identities. Zbl 1349.11037 Belbachir, Hacène; Komatsu, Takao; Szalay, László 15 2014 Fibonacci numbers of the form \(p^a\pm p^b+1\). Zbl 1228.11021 Luca, Florian; Szalay, László 13 2007 Unimodal rays in the ordinary and generalized Pascal triangles. Zbl 1247.11021 Belbachir, Hacène; Szalay, László 13 2008 On the \(X\)-coordinates of Pell equations which are Tribonacci numbers. Zbl 1410.11007 Luca, Florian; Montejano, Amanda; Szalay, Laszlo; Togbé, Alain 12 2017 Shifted poly-Cauchy numbers. Zbl 1320.11018 Komatsu, Takao; Szalay, László 11 2014 Hyperbolic Pascal triangles. Zbl 1410.11021 Belbachir, Hacène; Németh, László; Szalay, László 9 2016 On the resolution of simultaneous Pell equations. Zbl 1136.11023 Szalay, László 8 2007 Fibonacci Diophantine triples. Zbl 1218.11020 Luca, Florian; Szalay, László 8 2008 On the diophantine equation \((2^n-1)(3^n-1)=x^2\). Zbl 0961.11013 Szalay, László 7 2000 On the Diophantine equations \((2^n-1)(6^n-1)=x^2\) and \((a^n-1)(a^{kn}-1)=x^2\). Zbl 0973.11015 Hajdu, Lajos; Szalay, László 7 2000 On an \(S\)-unit variant of Diophantine \(m\)-tuples. Zbl 1274.11095 Szalay, László; Ziegler, Volker 7 2013 Diophantine triples with values in binary recurrences. Zbl 1193.11032 Fuchs, Clemens; Luca, Florian; Szalay, László 6 2008 On the Diophantine equation \(\sum_{j=1}^kjF_j^p=F_n^q\). Zbl 1463.11047 Soydan, Gökhan; Németh, László; Szalay, László 6 2018 Diophantine equations with binary recurrences associated to the Brocard-Ramanujan problem. Zbl 1321.11042 Szalay, László 6 2012 Diophantine triples and \(k\)-generalized Fibonacci sequences. Zbl 1447.11054 Fuchs, Clemens; Hutle, Christoph; Luca, Florian; Szalay, László 6 2018 On the \(x\)-coordinates of Pell equations which are products of two Fibonacci numbers. Zbl 1420.11061 Kafle, Bir; Luca, Florian; Montejano, Amanda; Szalay, László; Togbé, Alain 6 2019 Unimodality of certain sequences connected with binomial coefficients. Zbl 1118.11010 Belbachir, Hacène; Bencherif, Farid; Szalay, László 5 2007 On the exponential diophantine equation \((a^n-1)(b^n-1)=x^2\). Zbl 1240.11059 Lan, Li; Szalay, László 5 2010 Diophantine triples and reduced quadruples with the Lucas sequence of recurrence \(u_n=Au_{n-1} - u_{n-2}\). Zbl 1371.11072 Irmak, Nurettin; Szalay, László 5 2014 Recurrence sequences in the hyperbolic Pascal triangle corresponding to the regular mosaic \(\{4, 5\}\). Zbl 1374.11019 Németh, László; Szalay, László 5 2016 Balancing Diophantine triples. Zbl 1293.11050 Alp, Murat; Irmak, Nurettin; Szalay, László 5 2012 Lucas Diophantine triples. Zbl 1225.11023 Luca, Florian; Szalay, László 4 2009 Some polynomial values in binary recurrences. Zbl 1046.11006 Szalay, László 4 2001 Balancing with binomial coefficients. Zbl 1372.11053 Komatsu, Takao; Szalay, László 4 2014 \(q\)-multiparameter-Bernoulli polynomials and \(q\)-multiparameter-Cauchy polynomials by Jackson’s integrals. Zbl 1351.11018 Komatsu, Takao; Szalay, László 4 2016 Unimodal rays in the regular and generalized Pascal pyramids. Zbl 1215.11012 Belbachir, Hacène; Szalay, László 4 2011 Fibonacci, and Lucas Pascal triangles. Zbl 1416.11021 Belbachir, Hacène; Szalay, László 4 2016 Superelliptic equations of the form \(y^p=x^{kp}+a_{kp-1}x^{kp-1}+\dots+a_0\). Zbl 1014.11020 Szalay, László 4 2002 Some relationships between poly-Cauchy type numbers and poly-Bernoulli type numbers. Zbl 1271.05009 Komatsu, T.; Liptai, Kálmán; Szalay, László 4 2012 Power sums in hyperbolic Pascal triangles. Zbl 1438.05003 Németh, László; Szalay, László 4 2018 Two-periodic ternary recurrences and their Binet-formula. Zbl 1274.11027 Alp, M.; Irmak, N.; Szalay, L. 3 2012 Balancing with Fibonacci powers. Zbl 1225.11018 Behera, Akrur; Liptai, Kálmán; Panda, Gopal Krishna; Szalay, László 3 2011 \(S\)-Diophantine quadruples with \(S = \{ 2,q \}\). Zbl 1364.11086 Szalay, László; Ziegler, Volker 3 2015 Only finitely many Tribonacci Diophantine triples exist. Zbl 1440.11042 Fuchs, Clemens; Hutle, Christoph; Irmak, Nurettin; Luca, Florian; Szalay, László 3 2017 Alternating sums in hyperbolic Pascal triangles. Zbl 1389.11070 Németh, László; Szalay, László 3 2016 \(S\)-Diophantine quadruples with two primes congruent to 3 modulo 4. Zbl 1329.11025 Szalay, László; Ziegler, Volker 3 2013 Diagonal sums in Pascal pyramid. Zbl 1419.11038 Belbachir, Hacène; Mehdaoui, Abdelghani; Szalay, László 3 2019 A note on Tribonacci-coefficient polynomials. Zbl 1265.11051 Mátyás, Ferenc; Szalay, László 2 2011 Fast algorithm for solving superelliptic equations of certain types. Zbl 0973.11039 Szalay, László 2 2000 Consecutive binomial coefficients satisfying a quadratic relation. Zbl 1121.11025 Luca, Florian; Szalay, László 2 2006 Balancing in direction \((1,-1)\) in Pascal’s triangle. Zbl 1366.11045 Belbachir, Hacene; Szalay, László 2 2014 Balancing Diophantine triples with distance 1. Zbl 1374.11063 Alp, Murat; Irmak, Nurettin; Szalay, László 2 2015 Reduced Diophantine quadruples with the binary recurrence \(G_n=AG_{n-1}-G_{n-2}\). Zbl 1349.11019 Alp, Murat; Irmak, Nurettin; Szalay, László 2 2015 A new formula for hyper-Fibonacci numbers, and the number of occurrences. Zbl 1424.11044 Komatsu, Takao; Szalay, László 2 2018 Diagonal sums in the Pascal pyramid. II: Applications. Zbl 1440.11020 Belbachir, Hacène; Mehdaoui, Abdelghani; Szalay, László 2 2019 Algorithm to solve certain ternary quartic Diophantine equations. Zbl 1362.11042 Szalay, László 2 2013 On a Diophantine equation involving powers of Fibonacci numbers. Zbl 1478.11017 Gueth, Krisztián; Luca, Florian; Szalay, László 2 2020 On \(k\)-periodic binary recurrences. Zbl 1274.11040 Irmak, Nurettin; Szalay, László 2 2012 Factorial-like values in the balancing sequence. Zbl 1441.11030 Irmak, Nurettin; Liptai, Kálmán; Szalay, László 2 2018 On the shifted product of binary recurrences. Zbl 1250.11021 Khadir, Omar; Liptai, Kálmán; Szalay, László 1 2010 On products of the terms of linear recurrences. Zbl 0909.11003 Brindza, Béla; Liptai, Kálmán; Szalay, László 1 1998 Power classes of recurrence sequences. Zbl 1072.11013 Liptai, Kálmán; Szalay, László 1 2004 On the resolution of the equations \(U_n=\binom x3\) and \(V_n=\binom x3\). Zbl 0994.11007 Szalay, László 1 2002 A note on binomial coefficients and equations of Pythagorean type. Zbl 1047.11018 Szalay, L. 1 2003 Tribonacci numbers close to the sum \(2^a+3^b+5^c\). Zbl 1339.11015 Irmak, Nurettin; Szalay, László 1 2016 Inequalities among related pairs of Fibonacci numbers. Zbl 1028.11009 Atanassov, K. T.; Knott, Ron; Ozeki, Kiyota; Shannon, A. G.; Szalay, László 1 2003 On the equation \((2^k-1)(3^l-1)=5^m-1\). Zbl 1472.11106 Luca, F.; Szalay, L. 1 2020 Computational algorithm for solving the Diophantine equations \(2^n \pm \alpha \cdot 2^m + \alpha^2 = x^2\). Zbl 1453.11170 Szalay, László 1 2020 Tilings of hyperbolic \((2 \times n)\)-board with colored squares and dominoes. Zbl 1411.05054 Komatsu, Takao; Németh, László; Szalay, László 1 2018 On the Fibonacci distances of \(ab\), \(ac\) and \(bc\). Zbl 1274.11100 Luca, Florian; Szalay, László 1 2013 Characterization of linear recurrences associated to rays in Pascal’s triangle. Zbl 1211.11020 Belbachir, Hacène; Komatsu, Takao; Szalay, László 1 2010 Sequences involving square zig-zag shapes. Zbl 1471.11036 Németh, László; Szalay, László 1 2021 Markoff-Rosenberger triples and generalized Lucas sequences. Zbl 1513.11098 Hashim, Hayder R.; Szalay, László; Tengely, Szabolcs 1 2022 Upper bound on the solution to \(F_n^{(2\kappa)}=\pm F_m^{(2\kappa)}\) with negative subscripts. Zbl 1525.11035 Pethő, Attila; Szalay, László 1 2022 A balancing problem on a binary recurrence and its associate. Zbl 1400.11088 Liptai, K.; Panda, G. K.; Szalay, L. 1 2016 Markoff-Rosenberger triples and generalized Lucas sequences. Zbl 1513.11098 Hashim, Hayder R.; Szalay, László; Tengely, Szabolcs 1 2022 Upper bound on the solution to \(F_n^{(2\kappa)}=\pm F_m^{(2\kappa)}\) with negative subscripts. Zbl 1525.11035 Pethő, Attila; Szalay, László 1 2022 Sequences involving square zig-zag shapes. Zbl 1471.11036 Németh, László; Szalay, László 1 2021 On a Diophantine equation involving powers of Fibonacci numbers. Zbl 1478.11017 Gueth, Krisztián; Luca, Florian; Szalay, László 2 2020 On the equation \((2^k-1)(3^l-1)=5^m-1\). Zbl 1472.11106 Luca, F.; Szalay, L. 1 2020 Computational algorithm for solving the Diophantine equations \(2^n \pm \alpha \cdot 2^m + \alpha^2 = x^2\). Zbl 1453.11170 Szalay, László 1 2020 On the \(x\)-coordinates of Pell equations which are products of two Fibonacci numbers. Zbl 1420.11061 Kafle, Bir; Luca, Florian; Montejano, Amanda; Szalay, László; Togbé, Alain 6 2019 Diagonal sums in Pascal pyramid. Zbl 1419.11038 Belbachir, Hacène; Mehdaoui, Abdelghani; Szalay, László 3 2019 Diagonal sums in the Pascal pyramid. II: Applications. Zbl 1440.11020 Belbachir, Hacène; Mehdaoui, Abdelghani; Szalay, László 2 2019 On the Diophantine equation \(\sum_{j=1}^kjF_j^p=F_n^q\). Zbl 1463.11047 Soydan, Gökhan; Németh, László; Szalay, László 6 2018 Diophantine triples and \(k\)-generalized Fibonacci sequences. Zbl 1447.11054 Fuchs, Clemens; Hutle, Christoph; Luca, Florian; Szalay, László 6 2018 Power sums in hyperbolic Pascal triangles. Zbl 1438.05003 Németh, László; Szalay, László 4 2018 A new formula for hyper-Fibonacci numbers, and the number of occurrences. Zbl 1424.11044 Komatsu, Takao; Szalay, László 2 2018 Factorial-like values in the balancing sequence. Zbl 1441.11030 Irmak, Nurettin; Liptai, Kálmán; Szalay, László 2 2018 Tilings of hyperbolic \((2 \times n)\)-board with colored squares and dominoes. Zbl 1411.05054 Komatsu, Takao; Németh, László; Szalay, László 1 2018 On the \(X\)-coordinates of Pell equations which are Tribonacci numbers. Zbl 1410.11007 Luca, Florian; Montejano, Amanda; Szalay, Laszlo; Togbé, Alain 12 2017 Only finitely many Tribonacci Diophantine triples exist. Zbl 1440.11042 Fuchs, Clemens; Hutle, Christoph; Irmak, Nurettin; Luca, Florian; Szalay, László 3 2017 Incomplete Cauchy numbers. Zbl 1389.11059 Komatsu, T.; Mező, I.; Szalay, L. 17 2016 Hyperbolic Pascal triangles. Zbl 1410.11021 Belbachir, Hacène; Németh, László; Szalay, László 9 2016 Recurrence sequences in the hyperbolic Pascal triangle corresponding to the regular mosaic \(\{4, 5\}\). Zbl 1374.11019 Németh, László; Szalay, László 5 2016 \(q\)-multiparameter-Bernoulli polynomials and \(q\)-multiparameter-Cauchy polynomials by Jackson’s integrals. Zbl 1351.11018 Komatsu, Takao; Szalay, László 4 2016 Fibonacci, and Lucas Pascal triangles. Zbl 1416.11021 Belbachir, Hacène; Szalay, László 4 2016 Alternating sums in hyperbolic Pascal triangles. Zbl 1389.11070 Németh, László; Szalay, László 3 2016 Tribonacci numbers close to the sum \(2^a+3^b+5^c\). Zbl 1339.11015 Irmak, Nurettin; Szalay, László 1 2016 A balancing problem on a binary recurrence and its associate. Zbl 1400.11088 Liptai, K.; Panda, G. K.; Szalay, L. 1 2016 \(S\)-Diophantine quadruples with \(S = \{ 2,q \}\). Zbl 1364.11086 Szalay, László; Ziegler, Volker 3 2015 Balancing Diophantine triples with distance 1. Zbl 1374.11063 Alp, Murat; Irmak, Nurettin; Szalay, László 2 2015 Reduced Diophantine quadruples with the binary recurrence \(G_n=AG_{n-1}-G_{n-2}\). Zbl 1349.11019 Alp, Murat; Irmak, Nurettin; Szalay, László 2 2015 On the arithmetic triangles. Zbl 1309.05012 Belbachir, Hacéne; Szalay, László 16 2014 Linear recurrences associated to rays in Pascal’s triangle and combinatorial identities. Zbl 1349.11037 Belbachir, Hacène; Komatsu, Takao; Szalay, László 15 2014 Shifted poly-Cauchy numbers. Zbl 1320.11018 Komatsu, Takao; Szalay, László 11 2014 Diophantine triples and reduced quadruples with the Lucas sequence of recurrence \(u_n=Au_{n-1} - u_{n-2}\). Zbl 1371.11072 Irmak, Nurettin; Szalay, László 5 2014 Balancing with binomial coefficients. Zbl 1372.11053 Komatsu, Takao; Szalay, László 4 2014 Balancing in direction \((1,-1)\) in Pascal’s triangle. Zbl 1366.11045 Belbachir, Hacene; Szalay, László 2 2014 On an \(S\)-unit variant of Diophantine \(m\)-tuples. Zbl 1274.11095 Szalay, László; Ziegler, Volker 7 2013 \(S\)-Diophantine quadruples with two primes congruent to 3 modulo 4. Zbl 1329.11025 Szalay, László; Ziegler, Volker 3 2013 Algorithm to solve certain ternary quartic Diophantine equations. Zbl 1362.11042 Szalay, László 2 2013 On the Fibonacci distances of \(ab\), \(ac\) and \(bc\). Zbl 1274.11100 Luca, Florian; Szalay, László 1 2013 Diophantine equations with binary recurrences associated to the Brocard-Ramanujan problem. Zbl 1321.11042 Szalay, László 6 2012 Balancing Diophantine triples. Zbl 1293.11050 Alp, Murat; Irmak, Nurettin; Szalay, László 5 2012 Some relationships between poly-Cauchy type numbers and poly-Bernoulli type numbers. Zbl 1271.05009 Komatsu, T.; Liptai, Kálmán; Szalay, László 4 2012 Two-periodic ternary recurrences and their Binet-formula. Zbl 1274.11027 Alp, M.; Irmak, N.; Szalay, L. 3 2012 On \(k\)-periodic binary recurrences. Zbl 1274.11040 Irmak, Nurettin; Szalay, László 2 2012 Unimodal rays in the regular and generalized Pascal pyramids. Zbl 1215.11012 Belbachir, Hacène; Szalay, László 4 2011 Balancing with Fibonacci powers. Zbl 1225.11018 Behera, Akrur; Liptai, Kálmán; Panda, Gopal Krishna; Szalay, László 3 2011 A note on Tribonacci-coefficient polynomials. Zbl 1265.11051 Mátyás, Ferenc; Szalay, László 2 2011 On the exponential diophantine equation \((a^n-1)(b^n-1)=x^2\). Zbl 1240.11059 Lan, Li; Szalay, László 5 2010 On the shifted product of binary recurrences. Zbl 1250.11021 Khadir, Omar; Liptai, Kálmán; Szalay, László 1 2010 Characterization of linear recurrences associated to rays in Pascal’s triangle. Zbl 1211.11020 Belbachir, Hacène; Komatsu, Takao; Szalay, László 1 2010 Generalized balancing numbers. Zbl 1239.11035 Liptai, Kálmán; Luca, Florian; Pintér, Ákos; Szalay, László 17 2009 Lucas Diophantine triples. Zbl 1225.11023 Luca, Florian; Szalay, László 4 2009 Unimodal rays in the ordinary and generalized Pascal triangles. Zbl 1247.11021 Belbachir, Hacène; Szalay, László 13 2008 Fibonacci Diophantine triples. Zbl 1218.11020 Luca, Florian; Szalay, László 8 2008 Diophantine triples with values in binary recurrences. Zbl 1193.11032 Fuchs, Clemens; Luca, Florian; Szalay, László 6 2008 Fibonacci numbers of the form \(p^a\pm p^b+1\). Zbl 1228.11021 Luca, Florian; Szalay, László 13 2007 On the resolution of simultaneous Pell equations. Zbl 1136.11023 Szalay, László 8 2007 Unimodality of certain sequences connected with binomial coefficients. Zbl 1118.11010 Belbachir, Hacène; Bencherif, Farid; Szalay, László 5 2007 Consecutive binomial coefficients satisfying a quadratic relation. Zbl 1121.11025 Luca, Florian; Szalay, László 2 2006 Power classes of recurrence sequences. Zbl 1072.11013 Liptai, Kálmán; Szalay, László 1 2004 A note on binomial coefficients and equations of Pythagorean type. Zbl 1047.11018 Szalay, L. 1 2003 Inequalities among related pairs of Fibonacci numbers. Zbl 1028.11009 Atanassov, K. T.; Knott, Ron; Ozeki, Kiyota; Shannon, A. G.; Szalay, László 1 2003 The equations \(2^N\pm 2^M\pm 2^L=z^2\). Zbl 1014.11022 Szalay, László 16 2002 Superelliptic equations of the form \(y^p=x^{kp}+a_{kp-1}x^{kp-1}+\dots+a_0\). Zbl 1014.11020 Szalay, László 4 2002 On the resolution of the equations \(U_n=\binom x3\) and \(V_n=\binom x3\). Zbl 0994.11007 Szalay, László 1 2002 Some polynomial values in binary recurrences. Zbl 1046.11006 Szalay, László 4 2001 On the diophantine equation \((2^n-1)(3^n-1)=x^2\). Zbl 0961.11013 Szalay, László 7 2000 On the Diophantine equations \((2^n-1)(6^n-1)=x^2\) and \((a^n-1)(a^{kn}-1)=x^2\). Zbl 0973.11015 Hajdu, Lajos; Szalay, László 7 2000 Fast algorithm for solving superelliptic equations of certain types. Zbl 0973.11039 Szalay, László 2 2000 On products of the terms of linear recurrences. Zbl 0909.11003 Brindza, Béla; Liptai, Kálmán; Szalay, László 1 1998 A discrete iteration in number theory. Zbl 0801.11011 Szalay, László 17 1992 all cited Publications top 5 cited Publications all top 5 Cited by 202 Authors 29 Luca, Florian 23 Komatsu, Takao 20 Szalay, László 19 Belbachir, Hacene 11 Németh, László 10 Togbé, Alain 9 Hajdu, Lajos 9 Ramírez, José Luis 8 Gómez, Carlos Alexis 8 Irmak, Nurettin 7 Ray, Prasanta Kumar 6 Ahmia, Moussa 5 Bérczes, Attila 5 Křížek, Michal 5 Rout, Sudhansu Sekhar 5 Somer, Lawrence E. 4 Ddamulira, Mahadi 4 Fuchs, Clemens 4 Pink, István 4 Tchammou, Euloge B. 4 Ziegler, Volker 3 Amrouche, Said 3 Bennett, Michael A. 3 Bugeaud, Yann 3 Deng, Guixin 3 Erazo, Harold S. 3 Gómez, Jhonny Carpediem 3 Kafle, Bir 3 Laohakosol, Vichian 3 Marques, Diego 3 Mehdaoui, Abdelghani 3 Panda, Gopal Krishna 3 Tengely, Szabolcs 2 Acikel, Abdullah 2 Anatriello, Giuseppina 2 Bartz, Jeremiah 2 Bazeniar, Abdelghafour 2 Belkhir, Amine 2 Bényi, Beáta 2 Bród, Dorota 2 Dearden, Bruce 2 Hashim, Hayder Raheem 2 Heintze, Sebastian 2 Hutle, Christoph 2 Iiams, Joel E. 2 Kaneko, Hajime 2 Keskin, Refik 2 Kilic, Emrah 2 Liptai, Kálmán 2 Mansour, Toufik 2 Mező, István 2 Rihane, Salah Eddine 2 Scott, Reese 2 Shattuck, Mark A. 2 Sirvent, Víctor F. 2 Skowronek-Kaziów, Joanna 2 Srikanth, Raghavendran 2 Stoll, Thomas 2 Styer, Robert Alan 2 Subburam, Sivanarayanapandian 2 Szynal-Liana, Anetta 2 Tan, Elif 2 Tebtoub, Assia Fettouma 2 Trojovský, Pavel 2 Ulas, Maciej 2 Vincenzi, Giovanni 2 Young, Paul Thomas 2 Yuan, Pingzhi 2 Zhao, Jinxing 1 Ahmad, Uzma 1 Akkus, Ilker 1 Alghazzawi, Dilshad A. 1 Aloui, Karam 1 Alp, Murat 1 Altassan, Alaa 1 Alves, Francisco Régis Vieira 1 Antony, Deepa 1 Anwar, Lenny F. 1 Arenas-Carmona, Luis 1 Arıkan, Talha 1 Barman, Rupam 1 Bazsó, András 1 Behera, Adikanda 1 Behloul, Djilali 1 Bensella, Hayat 1 Berend, Daniel 1 Bergelson, Vitaly 1 Bertók, Csanád 1 Bhoi, Kisan 1 Billera, Louis J. 1 Bilu, Yuri F. 1 Binner, Damanvir Singh 1 Blanco, Saúl A. 1 Bouchair, Abderrahmane 1 Boumahdi, Rachid 1 Bouyakoub, Abdelkader 1 Bravo, Eric Fernando 1 Campos, Helena B. 1 Carlip, Walter 1 Catarino, Paula Maria Machado Cruz ...and 102 more Authors all top 5 Cited in 95 Serials 11 Periodica Mathematica Hungarica 11 Journal of Number Theory 9 Turkish Journal of Mathematics 8 International Journal of Number Theory 7 Integers 6 Monatshefte für Mathematik 5 Czechoslovak Mathematical Journal 5 Mathematica Slovaca 5 Quaestiones Mathematicae 5 Mediterranean Journal of Mathematics 4 Lithuanian Mathematical Journal 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Journal of Integer Sequences 3 Discrete Mathematics 3 Archivum Mathematicum 3 Proceedings of the Japan Academy. Series A 3 Acta Mathematica Hungarica 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Mathematical Communications 3 Acta et Commentationes Universitatis Tartuensis de Mathematica 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Hacettepe Journal of Mathematics and Statistics 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Iranian Journal of Mathematical Sciences and Informatics 2 Bulletin of the Australian Mathematical Society 2 Discrete Applied Mathematics 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Applied Mathematics and Computation 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of Combinatorial Theory. Series A 2 Theoretical Computer Science 2 Advances in Applied Mathematics 2 Aequationes Mathematicae 2 Indagationes Mathematicae. New Series 2 The Australasian Journal of Combinatorics 2 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 2 Filomat 2 Journal of Difference Equations and Applications 2 The Ramanujan Journal 2 Mathematica Moravica 2 Communications of the Korean Mathematical Society 2 Journal of Algebra and its Applications 2 Advances in Difference Equations 2 Acta Universitatis Sapientiae. Mathematica 2 Communications in Mathematics 2 AIMS Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 Indian Journal of Pure & Applied Mathematics 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Beiträge zur Algebra und Geometrie 1 Acta Arithmetica 1 Mathematics and Computers in Simulation 1 Mathematika 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Tamkang Journal of Mathematics 1 Ergodic Theory and Dynamical Systems 1 Chinese Annals of Mathematics. Series A 1 Revista Matemática Iberoamericana 1 Glasnik Matematički. Serija III 1 Linear Algebra and its Applications 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Finite Fields and their Applications 1 The New York Journal of Mathematics 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Abstract and Applied Analysis 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JP Journal of Algebra, Number Theory and Applications 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Algebra and Discrete Mathematics 1 Proyecciones 1 Acta Mathematica Universitatis Ostraviensis 1 Applicable Analysis and Discrete Mathematics 1 Uniform Distribution Theory 1 Ars Mathematica Contemporanea 1 Discrete Mathematics, Algorithms and Applications 1 Science China. Mathematics 1 Azerbaijan Journal of Mathematics 1 Moscow Journal of Combinatorics and Number Theory 1 Journal of Mathematics 1 ISRN Combinatorics 1 International Journal of Advances in Applied Mathematics and Mechanics 1 European Journal of Mathematics 1 Open Mathematics 1 Research in Number Theory 1 Bulletin of the Hellenic Mathematical Society 1 Enumerative Combinatorics and Applications all top 5 Cited in 20 Fields 202 Number theory (11-XX) 73 Combinatorics (05-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 Special functions (33-XX) 6 Convex and discrete geometry (52-XX) 5 Group theory and generalizations (20-XX) 3 Difference and functional equations (39-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Citations by Year