Edit Profile (opens in new tab) Siksek, Samir Co-Author Distance Author ID: siksek.samir Published as: Siksek, Samir; Siksek, S. External Links: MGP Documents Indexed: 75 Publications since 1995, including 1 Book 2 Further Contributions Co-Authors: 39 Co-Authors with 61 Joint Publications 1,246 Co-Co-Authors all top 5 Co-Authors 16 single-authored 12 Bugeaud, Yann 12 Mignotte, Maurice 9 Bennett, Michael A. 8 Freitas, Nuno 7 Luca, Florian 5 Patel, Vandita 5 Stoll, Michael 4 Kraus, Alain 3 Anni, Samuele 3 Cremona, John E. 3 El-Sedy, Esam. A. S. 3 Smart, Nigel Paul 2 Dahmen, Sander R. 2 Ozman, Ekin 2 Skorobogatov, Alexei Nikolaïevitch 2 Tengely, Szabolcs 1 Abu Muriefah, Fadwa S. 1 Belabas, Karim 1 Beukers, Frits 1 Bremner, Andrew 1 Bright, Martin 1 Chen, Imin 1 Cohen, Henri 1 Deajim, Abdulaziz 1 Derickx, Maarten 1 Duquesne, Sylvain 1 Gaudry, Pierrick 1 Gherga, Adela 1 Hanrot, Guillaume 1 Hargreaves, Kathryn A. 1 Le Hung, Bao Viet 1 Lemos, Pedro 1 McCallum, William G. 1 Merriman, J. R. 1 Mihăilescu, Preda 1 Najman, Filip 1 Papanikolopoulos, Stefanos 1 Poonen, Bjorn 1 Prickett, M. 1 Reutenauer, Christophe 1 Şengün, Mehmet Haluk 1 Watkins, Mark James all top 5 Serials 10 Algebra & Number Theory 5 Journal de Théorie des Nombres de Bordeaux 4 Acta Arithmetica 3 Mathematics of Computation 3 Compositio Mathematica 3 Journal of Number Theory 3 International Journal of Number Theory 3 Research in Number Theory 2 Rocky Mountain Journal of Mathematics 2 Bulletin of the London Mathematical Society 2 Inventiones Mathematicae 2 Arab Journal of Mathematical Sciences 2 Annals of Mathematics. Second Series 1 Bulletin of the Australian Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Glasgow Mathematical Journal 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Mathematika 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Journal of Cryptology 1 Elemente der Mathematik 1 Annales Mathématiques Blaise Pascal 1 International Mathematical Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Graduate Texts in Mathematics 1 Panoramas et Synthèses 1 Journal of Combinatorics and Number Theory 1 European Journal of Mathematics all top 5 Fields 73 Number theory (11-XX) 22 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-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 69 Publications have been cited 773 times in 499 Documents Cited by ▼ Year ▼ Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers. Zbl 1113.11021Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 182 2006 Number theory. Volume II: Analytic and modern tools. Zbl 1119.11002Cohen, Henri 127 2007 Elliptic curves over real quadratic fields are modular. Zbl 1397.11086Freitas, Nuno; Le Hung, Bao V.; Siksek, Samir 49 2015 Classical and modular approaches to exponential Diophantine equations. II: The Lebesgue-Nagell equation. Zbl 1128.11013Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 44 2006 Beyond the Manin obstruction. – Appendix A by S. Siksek: 4-descent. – Appendix B: The Grothendieck spectral sequence and the truncation functor. Zbl 0951.14013Skorobogatov, Alexei N. 35 1999 Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 31 2008 Infinite descent on elliptic curves. Zbl 0852.11028Siksek, Samir 31 1995 Height difference bounds for elliptic curves over number fields. Zbl 1162.11032Cremona, J. E.; Prickett, M.; Siksek, Samir 25 2006 Explicit \(4\)-descents on an elliptic curve. Zbl 0873.11036Merriman, J. R.; Siksek, S.; Smart, N. P. 25 1996 Integral points on hyperelliptic curves. Zbl 1168.11026Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs 24 2008 The asymptotic Fermat’s last theorem for five-sixths of real quadratic fields. Zbl 1391.11065Freitas, Nuno; Siksek, Samir 22 2015 Fermat’s last theorem over some small real quadratic fields. Zbl 1395.11053Freitas, Nuno; Siksek, Samir 19 2015 Explicit Chabauty over number fields. Zbl 1330.11043Siksek, Samir 15 2013 A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 15 2008 Criteria for irreducibility of mod \(p\) representations of Frey curves. Zbl 1416.11080Freitas, Nuno; Siksek, Samir 14 2015 Superelliptic equations arising from sums of consecutive powers. Zbl 1401.11076Bennett, Michael A.; Patel, Vandita; Siksek, Samir 13 2016 Chabauty for symmetric powers of curves. Zbl 1254.11065Siksek, Samir 12 2009 Almost powers in the Lucas sequence. Zbl 1204.11030Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 12 2008 Quadratic points on modular curves. Zbl 1458.11094Ozman, Ekin; Siksek, Samir 12 2019 On happy numbers. Zbl 1052.11008El-Sedy, Esam; Siksek, Samir 12 2000 On the asymptotic Fermat’s last theorem over number fields. Zbl 1430.11045Şengün, Mehmet Haluk; Siksek, Samir 11 2018 On powers that are sums of consecutive like powers. Zbl 1358.11052Patel, Vandita; Siksek, Samir 11 2017 Perfect powers that are sums of consecutive cubes. Zbl 1437.11046Bennett, Michael A.; Patel, Vandita; Siksek, Samir 11 2017 On Fibonacci numbers of the form \(q^ky^k\). (Sur les nombres de Fibonacci de la forme \(q^ky^p\).) Zbl 1113.11010Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 10 2004 Perfect powers expressible as sums of two cubes. Zbl 1215.11026Chen, Imin; Siksek, Samir 9 2009 On the Diophantine equation \(x^2= y^p+2^kz^p\). Zbl 1074.11022Siksek, Samir 9 2003 A fast Diffie-Hellman protocol in genus 2. Zbl 1057.94511Smart, N. P.; Siksek, S. 9 1999 The modular approach to Diophantine equations. Zbl 1343.11042Siksek, Samir 8 2012 Perfect powers from products of terms in Lucas sequences. Zbl 1137.11011Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 8 2007 On factorials expressible as sums of at most three Fibonacci numbers. Zbl 1253.11048Luca, Florian; Siksek, Samir 8 2010 On the Diophantine equation \(x^2 + C = 2y^n\). Zbl 1233.11037Abu Muriefah, Fadwa S.; Luca, Florian; Siksek, Samir; Tengely, Szabolcs 8 2009 Elliptic curves over totally real cubic fields are modular. Zbl 1471.11178Derickx, Maarten; Najman, Filip; Siksek, Samir 7 2020 Residual representations of semistable principally polarized abelian varieties. Zbl 1405.11070Anni, Samuele; Lemos, Pedro; Siksek, Samir 6 2016 The generalized Fermat equation. Zbl 1440.11037Bennett, Michael; Mihăilescu, Preda; Siksek, Samir 6 2016 On the Diophantine equation \(x^2+7=y^m\). Zbl 1026.11043Siksek, Samir; Cremona, John E. 6 2003 On Fibonacci numbers with few prime divisors. Zbl 1087.11009Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 6 2005 Class field theory, Diophantine analysis and the asymptotic Fermat’s last theorem. Zbl 1450.11023Freitas, Nuno; Kraus, Alain; Siksek, Samir 6 2020 Shifted powers in binary recurrence sequences. Zbl 1371.11081Bennett, Michael A.; Dahmen, Sander R.; Mignotte, Maurice; Siksek, Samir 6 2015 Perfect powers expressible as sums of two fifth or seventh powers. Zbl 1307.11041Dahmen, Sander R.; Siksek, Samir 5 2014 Modular elliptic curves over real abelian fields and the generalized Fermat equation \(x^{2\ell}+y^{2m}=z^p\). Zbl 1419.11056Anni, Samuele; Siksek, Samir 5 2016 Rational points on Erdős-Selfridge superelliptic curves. Zbl 1407.11081Bennett, Michael A.; Siksek, Samir 5 2016 Explicit methods in number theory. Rational points and Diophantine equations. Zbl 1267.11002Belabas, Karim; Beukers, Frits; Gaudry, Pierrick; McCallum, William; Poonen, Bjorn; Siksek, Samir; Stoll, Michael; Watkins, Mark 4 2012 Chabauty and the Mordell-Weil sieve. Zbl 1358.11072Siksek, Samir 4 2015 Computing a lower bound for the canonical height on elliptic curves over \(\mathbb Q\). Zbl 1143.11333Cremona, John; Siksek, Samir 4 2006 A conjecture of Erdős, supersingular primes and short character sums. Zbl 1440.11039Bennett, Michael; Siksek, Samir 4 2020 Odd values of the Ramanujan tau function. Zbl 07522777Bennett, Michael A.; Gherga, Adela; Patel, Vandita; Siksek, Samir 4 2022 Shifted powers in Lucas-Lehmer sequences. Zbl 1435.11067Bennett, Michael A.; Patel, Vandita; Siksek, Samir 3 2019 Partial descent on hyperelliptic curves and the generalized Fermat equation \(x^3+y^4+z^5=0\). Zbl 1269.11061Siksek, Samir; Stoll, Michael 3 2012 On the number of Mordell-Weil generators for cubic surfaces. Zbl 1253.14023Siksek, Samir 3 2012 On a Shimura curve that is a counterexample to the Hasse principle. Zbl 1104.11031Siksek, Samir; Skorobogatov, Alexei 3 2003 A Sturmian sequence related to the uniqueness conjecture for Markoff numbers. Zbl 1173.68049Bugeaud, Yann; Reutenauer, Christophe; Siksek, Samir 2 2009 Cycles and fixed points of happy functions. Zbl 1292.11020Hargreaves, Kathryn; Siksek, Samir 2 2010 On the complexity of computing the 2-Selmer group of an elliptic curve. Zbl 0915.11032Siksek, S.; Smart, N. P. 2 1997 Descent on Picard groups using functions on curves. Zbl 1051.14030Siksek, Samir 2 2002 Integral points on punctured abelian varieties. Zbl 07615818Siksek, Samir 2 2022 Functions, reciprocity and the obstruction to divisors on curves. Zbl 1215.11063Bright, Martin; Siksek, Samir 1 2008 The generalised Fermat equation \(x^{2} + y^{3} = z^{15}\). Zbl 1303.11074Siksek, Samir; Stoll, Michael 1 2014 On Serre’s uniformity conjecture for semistable elliptic curves over totally real fields. Zbl 1376.11046Anni, Samuele; Siksek, Samir 1 2015 On a problem of Hajdu and Tengely. Zbl 1257.11033Siksek, Samir; Stoll, Michael 1 2010 On the \(\mathbb Q\)-linear independence of the sums \(\sum^{\infty}_{n=1} \sigma_k (n)/n!\). Zbl 1226.11073Deajim, Abdulaziz; Siksek, Samir 1 2011 On perfect powers in Lucas sequences. Zbl 1114.11014Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 1 2005 A Mordell-Weil theorem for cubic hypersurfaces of high dimension. Zbl 1387.14069Papanikolopoulos, Stefanos; Siksek, Samir 1 2017 Diophantine equations after Fermat’s last theorem. Zbl 1222.11045Siksek, Samir 1 2009 On asymptotic Fermat over \(\mathbb{Z}_p\)-extensions of \(\mathbb{Q}\). Zbl 1492.11073Freitas, Nuno; Kraus, Alain; Siksek, Samir 1 2020 The height pairing of elliptic curves with complex multiplication. Zbl 0991.11027Siksek, S. 1 1999 Sieving for rational points on hyperelliptic curves. Zbl 0992.11038Siksek, Samir 1 2001 The Brauer-Manin obstruction for curves having split Jacobians. Zbl 1076.14033Siksek, Samir 1 2004 The unit equation over cyclic number fields of prime degree. Zbl 1497.11267Freitas, Nuno; Kraus, Alain; Siksek, Samir 1 2021 Points of non-differentiability of convex functions. Zbl 1047.26009Siksek, Samir; El Sedy, Esam 1 2004 Odd values of the Ramanujan tau function. Zbl 07522777Bennett, Michael A.; Gherga, Adela; Patel, Vandita; Siksek, Samir 4 2022 Integral points on punctured abelian varieties. Zbl 07615818Siksek, Samir 2 2022 The unit equation over cyclic number fields of prime degree. Zbl 1497.11267Freitas, Nuno; Kraus, Alain; Siksek, Samir 1 2021 Elliptic curves over totally real cubic fields are modular. Zbl 1471.11178Derickx, Maarten; Najman, Filip; Siksek, Samir 7 2020 Class field theory, Diophantine analysis and the asymptotic Fermat’s last theorem. Zbl 1450.11023Freitas, Nuno; Kraus, Alain; Siksek, Samir 6 2020 A conjecture of Erdős, supersingular primes and short character sums. Zbl 1440.11039Bennett, Michael; Siksek, Samir 4 2020 On asymptotic Fermat over \(\mathbb{Z}_p\)-extensions of \(\mathbb{Q}\). Zbl 1492.11073Freitas, Nuno; Kraus, Alain; Siksek, Samir 1 2020 Quadratic points on modular curves. Zbl 1458.11094Ozman, Ekin; Siksek, Samir 12 2019 Shifted powers in Lucas-Lehmer sequences. Zbl 1435.11067Bennett, Michael A.; Patel, Vandita; Siksek, Samir 3 2019 On the asymptotic Fermat’s last theorem over number fields. Zbl 1430.11045Şengün, Mehmet Haluk; Siksek, Samir 11 2018 On powers that are sums of consecutive like powers. Zbl 1358.11052Patel, Vandita; Siksek, Samir 11 2017 Perfect powers that are sums of consecutive cubes. Zbl 1437.11046Bennett, Michael A.; Patel, Vandita; Siksek, Samir 11 2017 A Mordell-Weil theorem for cubic hypersurfaces of high dimension. Zbl 1387.14069Papanikolopoulos, Stefanos; Siksek, Samir 1 2017 Superelliptic equations arising from sums of consecutive powers. Zbl 1401.11076Bennett, Michael A.; Patel, Vandita; Siksek, Samir 13 2016 Residual representations of semistable principally polarized abelian varieties. Zbl 1405.11070Anni, Samuele; Lemos, Pedro; Siksek, Samir 6 2016 The generalized Fermat equation. Zbl 1440.11037Bennett, Michael; Mihăilescu, Preda; Siksek, Samir 6 2016 Modular elliptic curves over real abelian fields and the generalized Fermat equation \(x^{2\ell}+y^{2m}=z^p\). Zbl 1419.11056Anni, Samuele; Siksek, Samir 5 2016 Rational points on Erdős-Selfridge superelliptic curves. Zbl 1407.11081Bennett, Michael A.; Siksek, Samir 5 2016 Elliptic curves over real quadratic fields are modular. Zbl 1397.11086Freitas, Nuno; Le Hung, Bao V.; Siksek, Samir 49 2015 The asymptotic Fermat’s last theorem for five-sixths of real quadratic fields. Zbl 1391.11065Freitas, Nuno; Siksek, Samir 22 2015 Fermat’s last theorem over some small real quadratic fields. Zbl 1395.11053Freitas, Nuno; Siksek, Samir 19 2015 Criteria for irreducibility of mod \(p\) representations of Frey curves. Zbl 1416.11080Freitas, Nuno; Siksek, Samir 14 2015 Shifted powers in binary recurrence sequences. Zbl 1371.11081Bennett, Michael A.; Dahmen, Sander R.; Mignotte, Maurice; Siksek, Samir 6 2015 Chabauty and the Mordell-Weil sieve. Zbl 1358.11072Siksek, Samir 4 2015 On Serre’s uniformity conjecture for semistable elliptic curves over totally real fields. Zbl 1376.11046Anni, Samuele; Siksek, Samir 1 2015 Perfect powers expressible as sums of two fifth or seventh powers. Zbl 1307.11041Dahmen, Sander R.; Siksek, Samir 5 2014 The generalised Fermat equation \(x^{2} + y^{3} = z^{15}\). Zbl 1303.11074Siksek, Samir; Stoll, Michael 1 2014 Explicit Chabauty over number fields. Zbl 1330.11043Siksek, Samir 15 2013 The modular approach to Diophantine equations. Zbl 1343.11042Siksek, Samir 8 2012 Explicit methods in number theory. Rational points and Diophantine equations. Zbl 1267.11002Belabas, Karim; Beukers, Frits; Gaudry, Pierrick; McCallum, William; Poonen, Bjorn; Siksek, Samir; Stoll, Michael; Watkins, Mark 4 2012 Partial descent on hyperelliptic curves and the generalized Fermat equation \(x^3+y^4+z^5=0\). Zbl 1269.11061Siksek, Samir; Stoll, Michael 3 2012 On the number of Mordell-Weil generators for cubic surfaces. Zbl 1253.14023Siksek, Samir 3 2012 On the \(\mathbb Q\)-linear independence of the sums \(\sum^{\infty}_{n=1} \sigma_k (n)/n!\). Zbl 1226.11073Deajim, Abdulaziz; Siksek, Samir 1 2011 On factorials expressible as sums of at most three Fibonacci numbers. Zbl 1253.11048Luca, Florian; Siksek, Samir 8 2010 Cycles and fixed points of happy functions. Zbl 1292.11020Hargreaves, Kathryn; Siksek, Samir 2 2010 On a problem of Hajdu and Tengely. Zbl 1257.11033Siksek, Samir; Stoll, Michael 1 2010 Chabauty for symmetric powers of curves. Zbl 1254.11065Siksek, Samir 12 2009 Perfect powers expressible as sums of two cubes. Zbl 1215.11026Chen, Imin; Siksek, Samir 9 2009 On the Diophantine equation \(x^2 + C = 2y^n\). Zbl 1233.11037Abu Muriefah, Fadwa S.; Luca, Florian; Siksek, Samir; Tengely, Szabolcs 8 2009 A Sturmian sequence related to the uniqueness conjecture for Markoff numbers. Zbl 1173.68049Bugeaud, Yann; Reutenauer, Christophe; Siksek, Samir 2 2009 Diophantine equations after Fermat’s last theorem. Zbl 1222.11045Siksek, Samir 1 2009 Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 31 2008 Integral points on hyperelliptic curves. Zbl 1168.11026Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs 24 2008 A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 15 2008 Almost powers in the Lucas sequence. Zbl 1204.11030Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 12 2008 Functions, reciprocity and the obstruction to divisors on curves. Zbl 1215.11063Bright, Martin; Siksek, Samir 1 2008 Number theory. Volume II: Analytic and modern tools. Zbl 1119.11002Cohen, Henri 127 2007 Perfect powers from products of terms in Lucas sequences. Zbl 1137.11011Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 8 2007 Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers. Zbl 1113.11021Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 182 2006 Classical and modular approaches to exponential Diophantine equations. II: The Lebesgue-Nagell equation. Zbl 1128.11013Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 44 2006 Height difference bounds for elliptic curves over number fields. Zbl 1162.11032Cremona, J. E.; Prickett, M.; Siksek, Samir 25 2006 Computing a lower bound for the canonical height on elliptic curves over \(\mathbb Q\). Zbl 1143.11333Cremona, John; Siksek, Samir 4 2006 On Fibonacci numbers with few prime divisors. Zbl 1087.11009Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 6 2005 On perfect powers in Lucas sequences. Zbl 1114.11014Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 1 2005 On Fibonacci numbers of the form \(q^ky^k\). (Sur les nombres de Fibonacci de la forme \(q^ky^p\).) Zbl 1113.11010Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 10 2004 The Brauer-Manin obstruction for curves having split Jacobians. Zbl 1076.14033Siksek, Samir 1 2004 Points of non-differentiability of convex functions. Zbl 1047.26009Siksek, Samir; El Sedy, Esam 1 2004 On the Diophantine equation \(x^2= y^p+2^kz^p\). Zbl 1074.11022Siksek, Samir 9 2003 On the Diophantine equation \(x^2+7=y^m\). Zbl 1026.11043Siksek, Samir; Cremona, John E. 6 2003 On a Shimura curve that is a counterexample to the Hasse principle. Zbl 1104.11031Siksek, Samir; Skorobogatov, Alexei 3 2003 Descent on Picard groups using functions on curves. Zbl 1051.14030Siksek, Samir 2 2002 Sieving for rational points on hyperelliptic curves. Zbl 0992.11038Siksek, Samir 1 2001 On happy numbers. Zbl 1052.11008El-Sedy, Esam; Siksek, Samir 12 2000 Beyond the Manin obstruction. – Appendix A by S. Siksek: 4-descent. – Appendix B: The Grothendieck spectral sequence and the truncation functor. Zbl 0951.14013Skorobogatov, Alexei N. 35 1999 A fast Diffie-Hellman protocol in genus 2. Zbl 1057.94511Smart, N. P.; Siksek, S. 9 1999 The height pairing of elliptic curves with complex multiplication. Zbl 0991.11027Siksek, S. 1 1999 On the complexity of computing the 2-Selmer group of an elliptic curve. Zbl 0915.11032Siksek, S.; Smart, N. P. 2 1997 Explicit \(4\)-descents on an elliptic curve. Zbl 0873.11036Merriman, J. R.; Siksek, S.; Smart, N. P. 25 1996 Infinite descent on elliptic curves. Zbl 0852.11028Siksek, Samir 31 1995 all cited Publications top 5 cited Publications all top 5 Cited by 478 Authors 65 Luca, Florian 38 Togbé, Alain 33 Siksek, Samir 20 Keskin, Refik 18 Freitas, Nuno 15 Marques, Diego 14 Bennett, Michael A. 14 Erduvan, Fatih 13 Bravo, Jhon Jairo 12 Rihane, Salah Eddine 11 Gómez, Carlos Alexis 10 Ddamulira, Mahadi 10 Kraus, Alain 10 Patel, Vandita 10 Stoll, Michael 9 Balakrishnan, Jennifer S. 9 Şiar, Zafer 9 Soydan, Gokhan 8 Müller, Jan Steffen 7 Fisher, Tom A. 7 Hajdu, Lajos 7 Mignotte, Maurice 7 Tengely, Szabolcs 7 Tzanakis, Nikos 7 Ziegler, Volker 6 Chen, Imin 6 Pintér, Ákos 6 Trojovský, Pavel 5 Adegbindin, Chèfiath Awero 5 Bhoi, Kisan 5 Bugeaud, Yann 5 Das, Pranabesh 5 Dieulefait, Luis Victor 5 Duquesne, Sylvain 5 Grundman, Helen G. 5 Hernández Hernández, Santos 5 Kafle, Bir 5 Koutsianas, Angelos 5 Pink, István 5 Ray, Prasanta Kumar 5 Rayaguru, Sai Gopal 4 Bianchi, Francesca 4 Billerey, Nicolas 4 Bruin, Nils 4 Cremona, John E. 4 Flynn, Eugene Victor 4 Fujita, Yasutsugu 4 García Lomelí, Ana Cecilia 4 Laishram, Shanta 4 Le, Maohua 4 Michaud-Jacobs, Philippe 4 Normenyo, Benedict Vasco 4 Ozman, Ekin 4 Pacetti, Ariel 4 Panda, Gopal Krishna 4 Patel, Bijan Kumar 4 Rout, Sudhansu Sekhar 4 Saradha, N. 4 Stănică, Pantelimon 4 Torcomian, Lucas Villagra 4 Ţurcaş, George Cătălin 4 Yoshikawa, Sho 3 Abu Muriefah, Fadwa S. 3 Adédji, Kouèssi Norbert 3 Besser, Amnon 3 Box, Josha 3 Bravo, Eric F. 3 Costello, Craig 3 Creutz, Brendan 3 Dąbrowski, Andrzej Bogdan 3 Dahmen, Sander R. 3 Dembélé, Lassina 3 Diouf, Ismaïla 3 Gallegos-Ruiz, Homero R. 3 Gómez, Jhonny Carpediem 3 He, Bo 3 Najman, Filip 3 Nara, Tadahisa 3 Öğüt, Ümmügülsüm 3 Ono, Ken 3 Rouse, Jeremy A. 3 Shorey, Tarlok Nath 3 Szalay, László 3 Tiebekabe, Pagdame 3 Uchida, Yukihiro 3 Ulas, Maciej 3 Voutier, Paul M. 3 Yabuta, Minoru 3 Zhang, Zhongfeng 3 Zhu, Huilin 2 Alahmadi, Adel N. 2 Alan, Murat 2 Altassan, Alaa 2 Anni, Samuele 2 Argáez-García, Alejandro 2 Baker Swart, Breeanne 2 Ben Maaouia, Mohamed Ben Fraj 2 Bérczes, Attila 2 Bremner, Andrew 2 Cai, Tianxin ...and 378 more Authors all top 5 Cited in 127 Serials 56 Journal of Number Theory 33 International Journal of Number Theory 27 Mathematics of Computation 16 Acta Arithmetica 16 Boletín de la Sociedad Matemática Mexicana. Third Series 14 Rocky Mountain Journal of Mathematics 12 Journal de Théorie des Nombres de Bordeaux 11 Algebra & Number Theory 10 Transactions of the American Mathematical Society 10 Integers 10 Research in Number Theory 8 Journal of Integer Sequences 8 LMS Journal of Computation and Mathematics 7 Bulletin of the Australian Mathematical Society 7 Indagationes Mathematicae. New Series 7 The Ramanujan Journal 6 Periodica Mathematica Hungarica 6 Mathematika 6 Monatshefte für Mathematik 6 Proceedings of the Japan Academy. Series A 6 Quaestiones Mathematicae 6 Turkish Journal of Mathematics 6 Bulletin of the Brazilian Mathematical Society. New Series 5 Functiones et Approximatio. Commentarii Mathematici 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Lithuanian Mathematical Journal 4 Advances in Mathematics 4 Glasgow Mathematical Journal 4 Mathematische Annalen 4 Involve 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Archiv der Mathematik 3 Czechoslovak Mathematical Journal 3 Inventiones Mathematicae 3 Journal of Algebra 3 Journal für die Reine und Angewandte Mathematik 3 Manuscripta Mathematica 3 Mathematica Slovaca 3 Experimental Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Communications in Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Israel Journal of Mathematics 2 Canadian Journal of Mathematics 2 Colloquium Mathematicum 2 Compositio Mathematica 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Proceedings of the American Mathematical Society 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Results in Mathematics 2 Journal of the American Mathematical Society 2 Publicacions Matemàtiques 2 Journal of Cryptology 2 Glasnik Matematički. Serija III 2 Mathematical Communications 2 Matematychni Studiï 2 Journal of the European Mathematical Society (JEMS) 2 Applied Mathematics E-Notes 2 Mediterranean Journal of Mathematics 2 Advances in Difference Equations 2 Oberwolfach Reports 2 Science China. Mathematics 2 Afrika Matematika 2 Arabian Journal of Mathematics 2 Forum of Mathematics, Sigma 2 La Matematica 1 Communications in Algebra 1 Mathematical Notes 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Commentationes Mathematicae Universitatis Carolinae 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Matematički Vesnik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Bulletin of the Korean Mathematical Society 1 Physica D 1 Boletim da Sociedade Portuguesa de Matemática 1 Journal of Symbolic Computation 1 Journal of the Ramanujan Mathematical Society 1 Science in China. Series A 1 Sugaku Expositions 1 Mathematica Bohemica 1 IMRN. International Mathematics Research Notices 1 Acta Mathematica Universitatis Comenianae. New Series 1 Elemente der Mathematik 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Filomat 1 Journal of Mathematical Chemistry ...and 27 more Serials all top 5 Cited in 18 Fields 485 Number theory (11-XX) 100 Algebraic geometry (14-XX) 11 Information and communication theory, circuits (94-XX) 4 Combinatorics (05-XX) 4 Group theory and generalizations (20-XX) 3 Mathematical logic and foundations (03-XX) 3 Field theory and polynomials (12-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 General and overarching topics; collections (00-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year