Edit Profile (opens in new tab) Tengely, Szabolcs Co-Author Distance Author ID: tengely.szabolcs Published as: Tengely, Szabolcs; Tengely, Sz. Homepage: http://shrek.unideb.hu/~tengely/research.html External Links: MGP · ResearchGate · dblp Documents Indexed: 48 Publications since 2000, including 3 Additional arXiv Preprints Reviewing Activity: 7 Reviews Co-Authors: 31 Co-Authors with 35 Joint Publications 938 Co-Co-Authors all top 5 Co-Authors 13 single-authored 9 Ulas, Maciej 7 Hajdu, Lajos 5 Hashim, Hayder Raheem 3 Pintér, Ákos 3 Varga, Nóra 2 Laishram, Shanta 2 Luca, Florian 2 Siksek, Samir 1 Abu Muriefah, Fadwa S. 1 Alekseyev, Max A. 1 Bazsó, András 1 Bérczes, Attila 1 Beukers, Frits 1 Bugeaud, Yann 1 Dsupin, Krisztián 1 Dujella, Andrej 1 Frisco, Pierluigi 1 Gallegos-Ruiz, Homero R. 1 Győry, Kálmán 1 Henkel, Christiaan V. 1 Katsipis, Nikos 1 Mező, István 1 Mignotte, Maurice 1 Pethő, Attila 1 Pink, István 1 Shorey, Tarlok Nath 1 Stoll, Michael 1 Szalay, László 1 Tijdeman, Robert 1 Togbé, Alain 1 Zygadło, Jakub all top 5 Serials 7 Journal of Number Theory 7 Publicationes Mathematicae Debrecen 5 Acta Arithmetica 3 Periodica Mathematica Hungarica 2 Glasnik Matematički. Serija III 2 Indagationes Mathematicae. New Series 2 International Journal of Number Theory 1 Annales des Sciences Mathématiques du Québec 1 The Fibonacci Quarterly 1 Functiones et Approximatio. Commentarii Mathematici 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Journal of Symbolic Computation 1 Mathematica Bohemica 1 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 1 The Ramanujan Journal 1 Journal of Integer Sequences 1 Miskolc Mathematical Notes 1 Advances in Difference Equations 1 Annales Mathematicae et Informaticae 1 Algebra & Number Theory 1 Research in Number Theory Fields 45 Number theory (11-XX) 4 Algebraic geometry (14-XX) 2 Field theory and polynomials (12-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 152 times in 102 Documents Cited by ▼ Year ▼ Integral points on hyperelliptic curves. Zbl 1168.11026 Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs 24 2008 On the Diophantine equation \(x^ 2+a^ 2=2y^ p\). Zbl 1088.11021 Tengely, Sz. 16 2004 On the Diophantine equation \(F(x)=G(y)\). Zbl 1043.11030 Tengely, Sz. 10 2003 On the Diophantine equation \(x^2+q^{2m}=2y^p\). Zbl 1117.11022 Tengely, Sz. 9 2007 On the Diophantine equation \(x^2 + C = 2y^n\). Zbl 1233.11037 Abu Muriefah, Fadwa S.; Luca, Florian; Siksek, Samir; Tengely, Szabolcs 8 2009 On integral points on biquadratic curves and near-multiples of squares in Lucas sequences. Zbl 1358.11141 Alekseyev, Max A.; Tengely, Szabolcs 8 2014 Power values of sums of products of consecutive integers. Zbl 1400.11087 Hajdu, Lajos; Laishram, Shanta; Tengely, Szabolcs 8 2016 Cubes in products of terms in arithmetic progression. Zbl 1197.11038 Hajdu, Lajos; Tengely, Szabolcs; Tijdeman, Robert 7 2009 Full powers in arithmetic progressions. Zbl 0973.11045 Pink, I.; Tengely, Sz. 5 2000 Note on the paper “An extension of a theorem of Euler” by Hirata-Kohno et al. Zbl 1219.11057 Tengely, Sz. 5 2008 On the Diophantine equation \(x^2+C=4y^n\). Zbl 1215.11035 Luca, Florian; Tengely, Szabolcs; Togbé, Alain 5 2009 Squares in products in arithmetic progression with at most one term omitted and common difference a prime power. Zbl 1158.11018 Laishram, Shanta; Shorey, T. N.; Tengely, Szabolcs 4 2008 On products of disjoint blocks of arithmetic progressions and related equations. Zbl 1373.11030 Tengely, Sz.; Ulas, M. 4 2016 Equal values of figurate numbers. Zbl 1383.11038 Hajdu, Lajos; Pintér, Ákos; Tengely, Szabolcs; Varga, Nóra 4 2014 Arithmetic progressions consisting of unlike powers. Zbl 1142.11018 Bruin, N.; Győry, K.; Hajdu, L.; Tengely, Sz. 3 2006 On the Diophantine equation \(L_n=\binom{x}{5}\). Zbl 1249.11052 Tengely, Szabolcs 3 2011 On certain Diophantine equations of the form \(z^2=f(x)^2\pm g(y)^2\). Zbl 1387.11025 Tengely, Sz.; Ulas, M. 3 2017 Arithmetic progressions of squares, cubes and \(n\)-th powers. Zbl 1230.11040 Hajdu, Lajos; Tengely, Szabolcs 2 2009 An algorithm for SAT without an extraction phase. Zbl 1234.68457 Frisco, Pierluigi; Henkel, Christiaan; Tengely, Szabolcs 2 2006 On a generalization of a problem of Erdős and Graham. Zbl 1324.11040 Tengely, Szabolcs; Varga, Nóra 2 2014 The Korteweg-de Vries equation and a Diophantine problem related to Bernoulli polynomials. Zbl 1375.11030 Pintér, Ákos; Tengely, Szabolcs 2 2013 On a problem of Erdős and Graham. Zbl 1374.11058 Tengely, Szabolcs 2 2016 Equal values of certain partition functions via Diophantine equations. Zbl 1498.11098 Tengely, Szabolcs; Ulas, Maciej 2 2021 On the Diophantine equation \(\binom{n}{k} = \binom{m}{l} + d\). Zbl 1451.11020 Gallegos-Ruiz, H. R.; Katsipis, N.; Tengely, Sz.; Ulas, M. 2 2020 Representations of reciprocals of Lucas sequences. Zbl 1424.11076 Hashim, H. R.; Tengely, Sz. 2 2018 Power values of sums of certain products of consecutive integers and related results. Zbl 1450.11025 Tengely, Szabolcs; Ulas, Maciej 2 2019 Finding \(g\)-gonal numbers in recurrence sequences. Zbl 1241.11036 Tengely, Szabolcs 1 2009 On composite rational functions. Zbl 1306.11093 Pethő, Attila; Tengely, Szabolcs 1 2014 On the Lucas sequence equation \(\frac{1}{U_n}=\sum_{k=1}^{\infty} \frac{U_{k-1}}{x^k} \). Zbl 1374.11027 Tengely, Szabolcs 1 2015 Finiteness results for \(F\)-Diophantine sets. Zbl 1396.11056 Bérczes, Attila; Dujella, Andrej; Hajdu, Lajos; Tengely, Szabolcs 1 2016 Solutions of a generalized Markoff equation in Fibonacci numbers. Zbl 1482.11044 Hashim, Hayder Raheem; Tengely, Szabolcs 1 2020 Balancing numbers which are products of consecutive integers. Zbl 1274.11096 Tengely, Szabolcs 1 2013 Markoff-Rosenberger triples and generalized Lucas sequences. Zbl 1513.11098 Hashim, Hayder R.; Szalay, László; Tengely, Szabolcs 1 2022 Powers in arithmetic progressions. Zbl 1481.11014 Hajdu, Lajos; Tengely, Szabolcs 1 2021 Markoff-Rosenberger triples and generalized Lucas sequences. Zbl 1513.11098 Hashim, Hayder R.; Szalay, László; Tengely, Szabolcs 1 2022 Equal values of certain partition functions via Diophantine equations. Zbl 1498.11098 Tengely, Szabolcs; Ulas, Maciej 2 2021 Powers in arithmetic progressions. Zbl 1481.11014 Hajdu, Lajos; Tengely, Szabolcs 1 2021 On the Diophantine equation \(\binom{n}{k} = \binom{m}{l} + d\). Zbl 1451.11020 Gallegos-Ruiz, H. R.; Katsipis, N.; Tengely, Sz.; Ulas, M. 2 2020 Solutions of a generalized Markoff equation in Fibonacci numbers. Zbl 1482.11044 Hashim, Hayder Raheem; Tengely, Szabolcs 1 2020 Power values of sums of certain products of consecutive integers and related results. Zbl 1450.11025 Tengely, Szabolcs; Ulas, Maciej 2 2019 Representations of reciprocals of Lucas sequences. Zbl 1424.11076 Hashim, H. R.; Tengely, Sz. 2 2018 On certain Diophantine equations of the form \(z^2=f(x)^2\pm g(y)^2\). Zbl 1387.11025 Tengely, Sz.; Ulas, M. 3 2017 Power values of sums of products of consecutive integers. Zbl 1400.11087 Hajdu, Lajos; Laishram, Shanta; Tengely, Szabolcs 8 2016 On products of disjoint blocks of arithmetic progressions and related equations. Zbl 1373.11030 Tengely, Sz.; Ulas, M. 4 2016 On a problem of Erdős and Graham. Zbl 1374.11058 Tengely, Szabolcs 2 2016 Finiteness results for \(F\)-Diophantine sets. Zbl 1396.11056 Bérczes, Attila; Dujella, Andrej; Hajdu, Lajos; Tengely, Szabolcs 1 2016 On the Lucas sequence equation \(\frac{1}{U_n}=\sum_{k=1}^{\infty} \frac{U_{k-1}}{x^k} \). Zbl 1374.11027 Tengely, Szabolcs 1 2015 On integral points on biquadratic curves and near-multiples of squares in Lucas sequences. Zbl 1358.11141 Alekseyev, Max A.; Tengely, Szabolcs 8 2014 Equal values of figurate numbers. Zbl 1383.11038 Hajdu, Lajos; Pintér, Ákos; Tengely, Szabolcs; Varga, Nóra 4 2014 On a generalization of a problem of Erdős and Graham. Zbl 1324.11040 Tengely, Szabolcs; Varga, Nóra 2 2014 On composite rational functions. Zbl 1306.11093 Pethő, Attila; Tengely, Szabolcs 1 2014 The Korteweg-de Vries equation and a Diophantine problem related to Bernoulli polynomials. Zbl 1375.11030 Pintér, Ákos; Tengely, Szabolcs 2 2013 Balancing numbers which are products of consecutive integers. Zbl 1274.11096 Tengely, Szabolcs 1 2013 On the Diophantine equation \(L_n=\binom{x}{5}\). Zbl 1249.11052 Tengely, Szabolcs 3 2011 On the Diophantine equation \(x^2 + C = 2y^n\). Zbl 1233.11037 Abu Muriefah, Fadwa S.; Luca, Florian; Siksek, Samir; Tengely, Szabolcs 8 2009 Cubes in products of terms in arithmetic progression. Zbl 1197.11038 Hajdu, Lajos; Tengely, Szabolcs; Tijdeman, Robert 7 2009 On the Diophantine equation \(x^2+C=4y^n\). Zbl 1215.11035 Luca, Florian; Tengely, Szabolcs; Togbé, Alain 5 2009 Arithmetic progressions of squares, cubes and \(n\)-th powers. Zbl 1230.11040 Hajdu, Lajos; Tengely, Szabolcs 2 2009 Finding \(g\)-gonal numbers in recurrence sequences. Zbl 1241.11036 Tengely, Szabolcs 1 2009 Integral points on hyperelliptic curves. Zbl 1168.11026 Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs 24 2008 Note on the paper “An extension of a theorem of Euler” by Hirata-Kohno et al. Zbl 1219.11057 Tengely, Sz. 5 2008 Squares in products in arithmetic progression with at most one term omitted and common difference a prime power. Zbl 1158.11018 Laishram, Shanta; Shorey, T. N.; Tengely, Szabolcs 4 2008 On the Diophantine equation \(x^2+q^{2m}=2y^p\). Zbl 1117.11022 Tengely, Sz. 9 2007 Arithmetic progressions consisting of unlike powers. Zbl 1142.11018 Bruin, N.; Győry, K.; Hajdu, L.; Tengely, Sz. 3 2006 An algorithm for SAT without an extraction phase. Zbl 1234.68457 Frisco, Pierluigi; Henkel, Christiaan; Tengely, Szabolcs 2 2006 On the Diophantine equation \(x^ 2+a^ 2=2y^ p\). Zbl 1088.11021 Tengely, Sz. 16 2004 On the Diophantine equation \(F(x)=G(y)\). Zbl 1043.11030 Tengely, Sz. 10 2003 Full powers in arithmetic progressions. Zbl 0973.11045 Pink, I.; Tengely, Sz. 5 2000 all cited Publications top 5 cited Publications all top 5 Cited by 98 Authors 16 Hajdu, Lajos 15 Tengely, Szabolcs 7 Luca, Florian 6 Ulas, Maciej 5 Pintér, Ákos 5 Togbé, Alain 5 Zhang, Yong 4 Keskin, Refik 4 Kovács, Tünde 4 Öğüt, Ümmügülsüm 3 Abu Muriefah, Fadwa S. 3 Bazsó, András 3 Gallegos-Ruiz, Homero R. 3 Hashim, Hayder Raheem 3 Papp, Ágoston 3 Patel, Vandita 3 Siksek, Samir 3 Stoll, Michael 3 Subburam, Sivanarayanapandian 3 Varga, Nóra 2 Balakrishnan, Jennifer S. 2 Bennett, Michael A. 2 Bérczes, Attila 2 Besser, Amnon 2 Chakraborty, Kalyan 2 Győry, Kálmán 2 Hoque, Azizul 2 Marques, Diego 2 Müller, Jan Steffen 2 Oltean, Mihai 2 Osipov, Nikolai Nikolaevich 2 Péter, Gyöngyvér 2 Pink, István 2 Rábai, Zsolt 2 Sharma, Richa 2 Shen, Zhongyan 2 Srikanth, Raghavendran 2 Tijdeman, Robert 1 Belabas, Karim 1 Bertók, Csanád 1 Blokhuis, Aart 1 Bouazza, Zoubida 1 Box, Josha 1 Brouwer, Andries Evert 1 de Weger, Benne 1 Dembner, Spencer 1 Draziotis, Konstantinos A. 1 Drungilas, Paulius 1 Dubickas, Artūras 1 El-Sissi, Nermine 1 Ferenczik, Judit 1 Fuchs, Clemens 1 Gajdzica, Krystian 1 Ghanmi, Nejib 1 Godinho, Hemar 1 Goins, Edray Herber 1 Günerhan, Hatira 1 Hayder, Hashim R. 1 Heintze, Sebastian 1 Hernández-Llanos, Pedro 1 Irmak, Nurettin 1 Jain, Vanshika 1 Katsipis, Nikos 1 Kundu, Debanjana 1 Kytmanov, Alexey Alexandrovich 1 Laishram, Shanta 1 Le, Maohua 1 Levin, Aaron 1 Medvedeva, Maria I. 1 Miska, Piotr 1 Mollin, Richard Anthony 1 Mourao, Michael 1 Munshi, Ritabrata 1 Muntean, Oana 1 Okumura, Shinya 1 Pan, Xiaowei 1 Panda, Gopal Krishna 1 Poonen, Bjorn 1 Porvázsnyik, Bettina 1 Quintana, Yamilet 1 Rakaczki, Csaba 1 Rodriguez-Villegas, Fernando 1 Sadek, Mohammad 1 Sahukar, Manasi Kumari 1 Sankaranarayanan, Ayyadurai 1 Saradha, N. 1 Schinzel, Andrzej 1 Shamsi Zargar, Arman 1 Sobolewski, Bartosz 1 Souid, Mohammed Said 1 Soydan, Gokhan 1 Stănică, Pantelimon 1 Szalay, László 1 Szikszai, Márton 1 Tang, Qiongzhi 1 Urieles, Alejandro 1 Zhu, Huilin 1 Ziegler, Volker all top 5 Cited in 47 Serials 11 Journal of Number Theory 9 Periodica Mathematica Hungarica 6 International Journal of Number Theory 5 Monatshefte für Mathematik 4 Results in Mathematics 4 Acta Mathematica Hungarica 4 Indagationes Mathematicae. New Series 3 Acta Arithmetica 3 Functiones et Approximatio. Commentarii Mathematici 3 The Ramanujan Journal 3 Research in Number Theory 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Glasgow Mathematical Journal 2 Journal de Théorie des Nombres de Bordeaux 2 Advances in Difference Equations 2 Communications in Mathematics 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Applied Mathematics and Computation 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 Programming and Computer Software 1 New Generation Computing 1 Elemente der Mathematik 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Arab Journal of Mathematical Sciences 1 Honam Mathematical Journal 1 Journal of Inequalities and Applications 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Integers 1 Natural Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Hacettepe Journal of Mathematics and Statistics 1 Oberwolfach Reports 1 The Journal of Prime Research in Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Afrika Matematika 1 Pacific Journal of Mathematics for Industry 1 Journal of Siberian Federal University. Mathematics & Physics all top 5 Cited in 10 Fields 98 Number theory (11-XX) 9 Algebraic geometry (14-XX) 5 Combinatorics (05-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Geometry (51-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year