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: 87 Publications since 1995, including 1 Book and 8 Additional arXiv Preprints 2 Further Contributions Co-Authors: 43 Co-Authors with 71 Joint Publications 1,341 Co-Co-Authors all top 5 Co-Authors 18 single-authored 12 Bugeaud, Yann 12 Mignotte, Maurice 11 Bennett, Michael A. 10 Freitas, Nuno 7 Luca, Florian 6 Kraus, Alain 5 Patel, Vandita 5 Stoll, Michael 3 Anni, Samuele 3 Cremona, John E. 3 El-Sedy, Esam. A. S. 3 Khawaja, Maleeha 3 Smart, Nigel Paul 2 Dahmen, Sander R. 2 Gherga, Adela 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 Hanrot, Guillaume 1 Hargreaves, Kathryn A. 1 Le Hung, Bao Viet 1 Lemos, Pedro 1 McCallum, William G. 1 Merriman, J. R. 1 Michaud-Jacobs, Philippe 1 Mihăilescu, Preda 1 Najman, Filip 1 Nowroozi, Maryam 1 Papanikolopoulos, Stefanos 1 Poonen, Bjorn 1 Prickett, M. 1 Reutenauer, Christophe 1 Şengün, Mehmet Haluk 1 Visser, Robin 1 Watkins, Mark James all top 5 Serials 11 Algebra & Number Theory 6 Journal de Théorie des Nombres de Bordeaux 4 Acta Arithmetica 4 Research in Number Theory 3 Mathematics of Computation 3 Bulletin of the London Mathematical Society 3 Compositio Mathematica 3 Journal of Number Theory 3 International Journal of Number Theory 2 Rocky Mountain Journal of Mathematics 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 85 Number theory (11-XX) 23 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-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 74 Publications have been cited 980 times in 607 Documents Cited by ▼ Year ▼ Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers. Zbl 1113.11021 Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 231 2006 Number theory. Volume II: Analytic and modern tools. Zbl 1119.11002 Cohen, Henri 216 2007 Elliptic curves over real quadratic fields are modular. Zbl 1397.11086 Freitas, Nuno; Le Hung, Bao V.; Siksek, Samir 65 2015 Classical and modular approaches to exponential Diophantine equations. II: The Lebesgue-Nagell equation. Zbl 1128.11013 Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 52 2006 Beyond the Manin obstruction. – Appendix A by S. Siksek: 4-descent. – Appendix B: The Grothendieck spectral sequence and the truncation functor. Zbl 0951.14013 Skorobogatov, Alexei N. 46 1999 The asymptotic Fermat’s last theorem for five-sixths of real quadratic fields. Zbl 1391.11065 Freitas, Nuno; Siksek, Samir 36 2015 Infinite descent on elliptic curves. Zbl 0852.11028 Siksek, Samir 32 1995 Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008 Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 32 2008 Fermat’s last theorem over some small real quadratic fields. Zbl 1395.11053 Freitas, Nuno; Siksek, Samir 26 2015 Explicit \(4\)-descents on an elliptic curve. Zbl 0873.11036 Merriman, J. R.; Siksek, S.; Smart, N. P. 25 1996 Height difference bounds for elliptic curves over number fields. Zbl 1162.11032 Cremona, J. E.; Prickett, M.; Siksek, Samir 25 2006 Integral points on hyperelliptic curves. Zbl 1168.11026 Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs 24 2008 Criteria for irreducibility of mod \(p\) representations of Frey curves. Zbl 1416.11080 Freitas, Nuno; Siksek, Samir 19 2015 On the asymptotic Fermat’s last theorem over number fields. Zbl 1430.11045 Şengün, Mehmet Haluk; Siksek, Samir 18 2018 Chabauty for symmetric powers of curves. Zbl 1254.11065 Siksek, Samir 17 2009 Explicit Chabauty over number fields. Zbl 1330.11043 Siksek, Samir 17 2013 A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014 Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 16 2008 Quadratic points on modular curves. Zbl 1458.11094 Ozman, Ekin; Siksek, Samir 16 2019 Superelliptic equations arising from sums of consecutive powers. Zbl 1401.11076 Bennett, Michael A.; Patel, Vandita; Siksek, Samir 15 2016 On happy numbers. Zbl 1052.11008 El-Sedy, Esam; Siksek, Samir 14 2000 On powers that are sums of consecutive like powers. Zbl 1358.11052 Patel, Vandita; Siksek, Samir 14 2017 Perfect powers that are sums of consecutive cubes. Zbl 1437.11046 Bennett, Michael A.; Patel, Vandita; Siksek, Samir 14 2017 Elliptic curves over totally real cubic fields are modular. Zbl 1471.11178 Derickx, Maarten; Najman, Filip; Siksek, Samir 14 2020 Almost powers in the Lucas sequence. Zbl 1204.11030 Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 13 2008 Class field theory, Diophantine analysis and the asymptotic Fermat’s last theorem. Zbl 1450.11023 Freitas, Nuno; Kraus, Alain; Siksek, Samir 12 2020 The modular approach to Diophantine equations. Zbl 1343.11042 Siksek, Samir 12 2012 Chabauty and the Mordell-Weil sieve. Zbl 1358.11072 Siksek, Samir 12 2015 On the Diophantine equation \(x^2= y^p+2^kz^p\). Zbl 1074.11022 Siksek, Samir 11 2003 Perfect powers expressible as sums of two cubes. Zbl 1215.11026 Chen, Imin; Siksek, Samir 11 2009 On the Diophantine equation \(x^2 + C = 2y^n\). Zbl 1233.11037 Abu Muriefah, Fadwa S.; Luca, Florian; Siksek, Samir; Tengely, Szabolcs 11 2009 On Fibonacci numbers of the form \(q^ky^k\). (Sur les nombres de Fibonacci de la forme \(q^ky^p\).) Zbl 1113.11010 Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 10 2004 The generalized Fermat equation. Zbl 1440.11037 Bennett, Michael; Mihăilescu, Preda; Siksek, Samir 10 2016 Odd values of the Ramanujan tau function. Zbl 1525.11034 Bennett, Michael A.; Gherga, Adela; Patel, Vandita; Siksek, Samir 10 2022 A fast Diffie-Hellman protocol in genus 2. Zbl 1057.94511 Smart, N. P.; Siksek, S. 9 1999 Perfect powers from products of terms in Lucas sequences. Zbl 1137.11011 Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 9 2007 On factorials expressible as sums of at most three Fibonacci numbers. Zbl 1253.11048 Luca, Florian; Siksek, Samir 9 2010 Shifted powers in binary recurrence sequences. Zbl 1371.11081 Bennett, Michael A.; Dahmen, Sander R.; Mignotte, Maurice; Siksek, Samir 8 2015 On the Diophantine equation \(x^2+7=y^m\). Zbl 1026.11043 Siksek, Samir; Cremona, John E. 7 2003 Modular elliptic curves over real abelian fields and the generalized Fermat equation \(x^{2\ell}+y^{2m}=z^p\). Zbl 1419.11056 Anni, Samuele; Siksek, Samir 7 2016 On Fibonacci numbers with few prime divisors. Zbl 1087.11009 Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 6 2005 A conjecture of Erdős, supersingular primes and short character sums. Zbl 1440.11039 Bennett, Michael; Siksek, Samir 6 2020 Perfect powers expressible as sums of two fifth or seventh powers. Zbl 1307.11041 Dahmen, Sander R.; Siksek, Samir 6 2014 Residual representations of semistable principally polarized abelian varieties. Zbl 1405.11070 Anni, Samuele; Lemos, Pedro; Siksek, Samir 6 2016 Rational points on Erdős-Selfridge superelliptic curves. Zbl 1407.11081 Bennett, Michael A.; Siksek, Samir 6 2016 Partial descent on hyperelliptic curves and the generalized Fermat equation \(x^3+y^4+z^5=0\). Zbl 1269.11061 Siksek, Samir; Stoll, Michael 5 2012 Explicit methods in number theory. Rational points and Diophantine equations. Zbl 1267.11002 Belabas, Karim; Beukers, Frits; Gaudry, Pierrick; McCallum, William; Poonen, Bjorn; Siksek, Samir; Stoll, Michael; Watkins, Mark 5 2012 Differences between perfect powers: the Lebesgue-Nagell equation. Zbl 1529.11056 Bennett, Michael A.; Siksek, Samir 5 2023 On a Shimura curve that is a counterexample to the Hasse principle. Zbl 1104.11031 Siksek, Samir; Skorobogatov, Alexei 4 2003 Shifted powers in Lucas-Lehmer sequences. Zbl 1435.11067 Bennett, Michael A.; Patel, Vandita; Siksek, Samir 4 2019 On the number of Mordell-Weil generators for cubic surfaces. Zbl 1253.14023 Siksek, Samir 4 2012 Computing a lower bound for the canonical height on elliptic curves over \(\mathbb Q\). Zbl 1143.11333 Cremona, John; Siksek, Samir 4 2006 On asymptotic Fermat over \(\mathbb{Z}_p\)-extensions of \(\mathbb{Q}\). Zbl 1492.11073 Freitas, Nuno; Kraus, Alain; Siksek, Samir 3 2020 Differences between perfect powers: prime power gaps. Zbl 1539.11063 Bennett, Michael A.; Siksek, Samir 3 2023 On the complexity of computing the 2-Selmer group of an elliptic curve. Zbl 0915.11032 Siksek, S.; Smart, N. P. 2 1997 A Sturmian sequence related to the uniqueness conjecture for Markoff numbers. Zbl 1173.68049 Bugeaud, Yann; Reutenauer, Christophe; Siksek, Samir 2 2009 Descent on Picard groups using functions on curves. Zbl 1051.14030 Siksek, Samir 2 2002 On perfect powers in Lucas sequences. Zbl 1114.11014 Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 2 2005 Cycles and fixed points of happy functions. Zbl 1292.11020 Hargreaves, Kathryn; Siksek, Samir 2 2010 On the \(\mathbb Q\)-linear independence of the sums \(\sum^{\infty}_{n=1} \sigma_k (n)/n!\). Zbl 1226.11073 Deajim, Abdulaziz; Siksek, Samir 2 2011 On Serre’s uniformity conjecture for semistable elliptic curves over totally real fields. Zbl 1376.11046 Anni, Samuele; Siksek, Samir 2 2015 Every integer greater than 454 is the sum of at most seven positive cubes. Zbl 1407.11115 Siksek, Samir 2 2016 Integral points on punctured abelian varieties. Zbl 1545.11058 Siksek, Samir 2 2022 Functions, reciprocity and the obstruction to divisors on curves. Zbl 1215.11063 Bright, Martin; Siksek, Samir 1 2008 Sieving for rational points on hyperelliptic curves. Zbl 0992.11038 Siksek, Samir 1 2001 The height pairing of elliptic curves with complex multiplication. Zbl 0991.11027 Siksek, S. 1 1999 Points of non-differentiability of convex functions. Zbl 1047.26009 Siksek, Samir; El Sedy, Esam 1 2004 The Brauer-Manin obstruction for curves having split Jacobians. Zbl 1076.14033 Siksek, Samir 1 2004 A Mordell-Weil theorem for cubic hypersurfaces of high dimension. Zbl 1387.14069 Papanikolopoulos, Stefanos; Siksek, Samir 1 2017 The generalised Fermat equation \(x^{2} + y^{3} = z^{15}\). Zbl 1303.11074 Siksek, Samir; Stoll, Michael 1 2014 On a problem of Hajdu and Tengely. Zbl 1257.11033 Siksek, Samir; Stoll, Michael 1 2010 Diophantine equations after Fermat’s last theorem. Zbl 1222.11045 Siksek, Samir 1 2009 The unit equation over cyclic number fields of prime degree. Zbl 1497.11267 Freitas, Nuno; Kraus, Alain; Siksek, Samir 1 2021 S-unit equations and the asymptotic Fermat conjecture over number fields. Zbl 1514.11024 Özman, Ekin; Siksek, Samir 1 2022 \(\mathbb{Q}\)-curves and the Lebesgue-Nagell equation. Zbl 07750329 Bennett, Michael A.; Michaud-Jacobs, Philippe; Siksek, Samir 1 2023 Differences between perfect powers: the Lebesgue-Nagell equation. Zbl 1529.11056 Bennett, Michael A.; Siksek, Samir 5 2023 Differences between perfect powers: prime power gaps. Zbl 1539.11063 Bennett, Michael A.; Siksek, Samir 3 2023 \(\mathbb{Q}\)-curves and the Lebesgue-Nagell equation. Zbl 07750329 Bennett, Michael A.; Michaud-Jacobs, Philippe; Siksek, Samir 1 2023 Odd values of the Ramanujan tau function. Zbl 1525.11034 Bennett, Michael A.; Gherga, Adela; Patel, Vandita; Siksek, Samir 10 2022 Integral points on punctured abelian varieties. Zbl 1545.11058 Siksek, Samir 2 2022 S-unit equations and the asymptotic Fermat conjecture over number fields. Zbl 1514.11024 Özman, Ekin; Siksek, Samir 1 2022 The unit equation over cyclic number fields of prime degree. Zbl 1497.11267 Freitas, Nuno; Kraus, Alain; Siksek, Samir 1 2021 Elliptic curves over totally real cubic fields are modular. Zbl 1471.11178 Derickx, Maarten; Najman, Filip; Siksek, Samir 14 2020 Class field theory, Diophantine analysis and the asymptotic Fermat’s last theorem. Zbl 1450.11023 Freitas, Nuno; Kraus, Alain; Siksek, Samir 12 2020 A conjecture of Erdős, supersingular primes and short character sums. Zbl 1440.11039 Bennett, Michael; Siksek, Samir 6 2020 On asymptotic Fermat over \(\mathbb{Z}_p\)-extensions of \(\mathbb{Q}\). Zbl 1492.11073 Freitas, Nuno; Kraus, Alain; Siksek, Samir 3 2020 Quadratic points on modular curves. Zbl 1458.11094 Ozman, Ekin; Siksek, Samir 16 2019 Shifted powers in Lucas-Lehmer sequences. Zbl 1435.11067 Bennett, Michael A.; Patel, Vandita; Siksek, Samir 4 2019 On the asymptotic Fermat’s last theorem over number fields. Zbl 1430.11045 Şengün, Mehmet Haluk; Siksek, Samir 18 2018 On powers that are sums of consecutive like powers. Zbl 1358.11052 Patel, Vandita; Siksek, Samir 14 2017 Perfect powers that are sums of consecutive cubes. Zbl 1437.11046 Bennett, Michael A.; Patel, Vandita; Siksek, Samir 14 2017 A Mordell-Weil theorem for cubic hypersurfaces of high dimension. Zbl 1387.14069 Papanikolopoulos, Stefanos; Siksek, Samir 1 2017 Superelliptic equations arising from sums of consecutive powers. Zbl 1401.11076 Bennett, Michael A.; Patel, Vandita; Siksek, Samir 15 2016 The generalized Fermat equation. Zbl 1440.11037 Bennett, Michael; Mihăilescu, Preda; Siksek, Samir 10 2016 Modular elliptic curves over real abelian fields and the generalized Fermat equation \(x^{2\ell}+y^{2m}=z^p\). Zbl 1419.11056 Anni, Samuele; Siksek, Samir 7 2016 Residual representations of semistable principally polarized abelian varieties. Zbl 1405.11070 Anni, Samuele; Lemos, Pedro; Siksek, Samir 6 2016 Rational points on Erdős-Selfridge superelliptic curves. Zbl 1407.11081 Bennett, Michael A.; Siksek, Samir 6 2016 Every integer greater than 454 is the sum of at most seven positive cubes. Zbl 1407.11115 Siksek, Samir 2 2016 Elliptic curves over real quadratic fields are modular. Zbl 1397.11086 Freitas, Nuno; Le Hung, Bao V.; Siksek, Samir 65 2015 The asymptotic Fermat’s last theorem for five-sixths of real quadratic fields. Zbl 1391.11065 Freitas, Nuno; Siksek, Samir 36 2015 Fermat’s last theorem over some small real quadratic fields. Zbl 1395.11053 Freitas, Nuno; Siksek, Samir 26 2015 Criteria for irreducibility of mod \(p\) representations of Frey curves. Zbl 1416.11080 Freitas, Nuno; Siksek, Samir 19 2015 Chabauty and the Mordell-Weil sieve. Zbl 1358.11072 Siksek, Samir 12 2015 Shifted powers in binary recurrence sequences. Zbl 1371.11081 Bennett, Michael A.; Dahmen, Sander R.; Mignotte, Maurice; Siksek, Samir 8 2015 On Serre’s uniformity conjecture for semistable elliptic curves over totally real fields. Zbl 1376.11046 Anni, Samuele; Siksek, Samir 2 2015 Perfect powers expressible as sums of two fifth or seventh powers. Zbl 1307.11041 Dahmen, Sander R.; Siksek, Samir 6 2014 The generalised Fermat equation \(x^{2} + y^{3} = z^{15}\). Zbl 1303.11074 Siksek, Samir; Stoll, Michael 1 2014 Explicit Chabauty over number fields. Zbl 1330.11043 Siksek, Samir 17 2013 The modular approach to Diophantine equations. Zbl 1343.11042 Siksek, Samir 12 2012 Partial descent on hyperelliptic curves and the generalized Fermat equation \(x^3+y^4+z^5=0\). Zbl 1269.11061 Siksek, Samir; Stoll, Michael 5 2012 Explicit methods in number theory. Rational points and Diophantine equations. Zbl 1267.11002 Belabas, Karim; Beukers, Frits; Gaudry, Pierrick; McCallum, William; Poonen, Bjorn; Siksek, Samir; Stoll, Michael; Watkins, Mark 5 2012 On the number of Mordell-Weil generators for cubic surfaces. Zbl 1253.14023 Siksek, Samir 4 2012 On the \(\mathbb Q\)-linear independence of the sums \(\sum^{\infty}_{n=1} \sigma_k (n)/n!\). Zbl 1226.11073 Deajim, Abdulaziz; Siksek, Samir 2 2011 On factorials expressible as sums of at most three Fibonacci numbers. Zbl 1253.11048 Luca, Florian; Siksek, Samir 9 2010 Cycles and fixed points of happy functions. Zbl 1292.11020 Hargreaves, Kathryn; Siksek, Samir 2 2010 On a problem of Hajdu and Tengely. Zbl 1257.11033 Siksek, Samir; Stoll, Michael 1 2010 Chabauty for symmetric powers of curves. Zbl 1254.11065 Siksek, Samir 17 2009 Perfect powers expressible as sums of two cubes. Zbl 1215.11026 Chen, Imin; Siksek, Samir 11 2009 On the Diophantine equation \(x^2 + C = 2y^n\). Zbl 1233.11037 Abu Muriefah, Fadwa S.; Luca, Florian; Siksek, Samir; Tengely, Szabolcs 11 2009 A Sturmian sequence related to the uniqueness conjecture for Markoff numbers. Zbl 1173.68049 Bugeaud, Yann; Reutenauer, Christophe; Siksek, Samir 2 2009 Diophantine equations after Fermat’s last theorem. Zbl 1222.11045 Siksek, Samir 1 2009 Fibonacci numbers at most one away from a perfect power. Zbl 1156.11008 Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 32 2008 Integral points on hyperelliptic curves. Zbl 1168.11026 Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs 24 2008 A multi-Frey approach to some multi-parameter families of Diophantine equations. Zbl 1156.11014 Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 16 2008 Almost powers in the Lucas sequence. Zbl 1204.11030 Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 13 2008 Functions, reciprocity and the obstruction to divisors on curves. Zbl 1215.11063 Bright, Martin; Siksek, Samir 1 2008 Number theory. Volume II: Analytic and modern tools. Zbl 1119.11002 Cohen, Henri 216 2007 Perfect powers from products of terms in Lucas sequences. Zbl 1137.11011 Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 9 2007 Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers. Zbl 1113.11021 Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 231 2006 Classical and modular approaches to exponential Diophantine equations. II: The Lebesgue-Nagell equation. Zbl 1128.11013 Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 52 2006 Height difference bounds for elliptic curves over number fields. Zbl 1162.11032 Cremona, J. E.; Prickett, M.; Siksek, Samir 25 2006 Computing a lower bound for the canonical height on elliptic curves over \(\mathbb Q\). Zbl 1143.11333 Cremona, John; Siksek, Samir 4 2006 On Fibonacci numbers with few prime divisors. Zbl 1087.11009 Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 6 2005 On perfect powers in Lucas sequences. Zbl 1114.11014 Bugeaud, Yann; Luca, Florian; Mignotte, Maurice; Siksek, Samir 2 2005 On Fibonacci numbers of the form \(q^ky^k\). (Sur les nombres de Fibonacci de la forme \(q^ky^p\).) Zbl 1113.11010 Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir 10 2004 Points of non-differentiability of convex functions. Zbl 1047.26009 Siksek, Samir; El Sedy, Esam 1 2004 The Brauer-Manin obstruction for curves having split Jacobians. Zbl 1076.14033 Siksek, Samir 1 2004 On the Diophantine equation \(x^2= y^p+2^kz^p\). Zbl 1074.11022 Siksek, Samir 11 2003 On the Diophantine equation \(x^2+7=y^m\). Zbl 1026.11043 Siksek, Samir; Cremona, John E. 7 2003 On a Shimura curve that is a counterexample to the Hasse principle. Zbl 1104.11031 Siksek, Samir; Skorobogatov, Alexei 4 2003 Descent on Picard groups using functions on curves. Zbl 1051.14030 Siksek, Samir 2 2002 Sieving for rational points on hyperelliptic curves. Zbl 0992.11038 Siksek, Samir 1 2001 On happy numbers. Zbl 1052.11008 El-Sedy, Esam; Siksek, Samir 14 2000 Beyond the Manin obstruction. – Appendix A by S. Siksek: 4-descent. – Appendix B: The Grothendieck spectral sequence and the truncation functor. Zbl 0951.14013 Skorobogatov, Alexei N. 46 1999 A fast Diffie-Hellman protocol in genus 2. Zbl 1057.94511 Smart, N. P.; Siksek, S. 9 1999 The height pairing of elliptic curves with complex multiplication. Zbl 0991.11027 Siksek, S. 1 1999 On the complexity of computing the 2-Selmer group of an elliptic curve. Zbl 0915.11032 Siksek, S.; Smart, N. P. 2 1997 Explicit \(4\)-descents on an elliptic curve. Zbl 0873.11036 Merriman, J. R.; Siksek, S.; Smart, N. P. 25 1996 Infinite descent on elliptic curves. Zbl 0852.11028 Siksek, Samir 32 1995 all cited Publications top 5 cited Publications all top 5 Cited by 566 Authors 70 Luca, Florian 50 Togbé, Alain 37 Siksek, Samir 26 Keskin, Refik 19 Erduvan, Fatih 19 Freitas, Nuno 18 Rihane, Salah Eddine 17 Bennett, Michael A. 15 Marques, Diego 13 Bravo, Jhon Jairo 13 Ddamulira, Mahadi 13 Şiar, Zafer 12 Gómez, Carlos Alexis 12 Patel, Vandita 11 Soydan, Gokhan 11 Stoll, Michael 10 Adédji, Kouèssi Norbert 10 Kraus, Alain 9 Balakrishnan, Jennifer S. 9 Ziegler, Volker 8 Mignotte, Maurice 8 Müller, Jan Steffen 8 Pink, István 8 Tengely, Szabolcs 8 Tzanakis, Nikos 7 Bhoi, Kisan 7 Chen, Imin 7 Fisher, Tom A. 7 Grundman, Helen G. 7 Hajdu, Lajos 7 Michaud-Jacobs, Philippe 7 Ray, Prasanta Kumar 7 Rayaguru, Sai Gopal 6 Koutsianas, Angelos 6 Le, Maohua 6 Najman, Filip 6 Panda, Gopal Krishna 6 Pintér, Ákos 6 Rout, Sudhansu Sekhar 6 Trojovský, Pavel 6 Voutier, Paul M. 5 Adegbindin, Chèfiath Awero 5 Bianchi, Francesca 5 Bugeaud, Yann 5 Das, Pranabesh 5 Dieulefait, Luis Victor 5 Duquesne, Sylvain 5 Fujita, Yasutsugu 5 Hernández Hernández, Santos 5 Kafle, Bir 5 Normenyo, Benedict Vasco 5 Ozman, Ekin 5 Patel, Bijan Kumar 5 Ţurcaş, George Cătălin 4 Billerey, Nicolas 4 Bruin, Nils 4 Cremona, John E. 4 Diouf, Ismaïla 4 Filipin, Alan 4 Flynn, Eugene Victor 4 García Lomelí, Ana Cecilia 4 Khawaja, Maleeha 4 Laishram, Shanta 4 Miyazaki, Takafumi 4 Odjoumani, Japhet 4 Pacetti, Ariel Martín 4 Saradha, N. 4 Stănică, Pantelimon 4 Tiebekabe, Pagdame 4 Torcomian, Lucas Villagra 4 Ulas, Maciej 4 Yoshikawa, Sho 3 Abu Muriefah, Fadwa S. 3 Alan, Murat 3 Altassan, Alaa 3 Anni, Samuele 3 Bérczes, Attila 3 Besser, Amnon 3 Box, Josha 3 Bravo, Eric Fernando 3 Cai, Tianxin 3 Costello, Craig 3 Creutz, Brendan 3 Dąbrowski, Andrzej Bogdan 3 Dahmen, Sander R. 3 Dembélé, Lassina 3 Dogra, Netan 3 Faye, Bernadette 3 Gallegos-Ruiz, Homero R. 3 Gómez, Jhonny Carpediem 3 Hashimoto, Sachi 3 He, Bo 3 Nara, Tadahisa 3 Öğüt, Ümmügülsüm 3 Ono, Ken 3 Padurariu, Oana 3 Pasten, Hector V. 3 Rouse, Jeremy A. 3 Shorey, Tarlok Nath 3 Szalay, László ...and 466 more Authors all top 5 Cited in 142 Serials 60 Journal of Number Theory 38 International Journal of Number Theory 31 Mathematics of Computation 20 Acta Arithmetica 20 Boletín de la Sociedad Matemática Mexicana. Third Series 16 Research in Number Theory 14 Rocky Mountain Journal of Mathematics 14 Journal de Théorie des Nombres de Bordeaux 13 Integers 12 Algebra & Number Theory 11 Bulletin of the Australian Mathematical Society 10 Transactions of the American Mathematical Society 10 The Ramanujan Journal 8 Periodica Mathematica Hungarica 8 Quaestiones Mathematicae 8 Indagationes Mathematicae. New Series 8 Journal of Integer Sequences 8 LMS Journal of Computation and Mathematics 7 Monatshefte für Mathematik 7 Turkish Journal of Mathematics 6 Mathematische Annalen 6 Mathematica Slovaca 6 Mathematika 6 Proceedings of the Japan Academy. Series A 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Bulletin of the Brazilian Mathematical Society. New Series 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Functiones et Approximatio. Commentarii Mathematici 4 Lithuanian Mathematical Journal 4 Advances in Mathematics 4 The Fibonacci Quarterly 4 Glasgow Mathematical Journal 4 Inventiones Mathematicae 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Involve 4 Communications in Mathematics 3 Indian Journal of Pure & Applied Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Archiv der Mathematik 3 Canadian Journal of Mathematics 3 Czechoslovak Mathematical Journal 3 Journal of Algebra 3 Journal für die Reine und Angewandte Mathematik 3 Manuscripta Mathematica 3 Memoirs of the American Mathematical Society 3 Proceedings of the American Mathematical Society 3 Results in Mathematics 3 Glasnik Matematički. Serija III 3 Experimental Mathematics 3 Mathematical Communications 3 Applied Mathematics E-Notes 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Oberwolfach Reports 3 Afrika Matematika 3 Arabian Journal of Mathematics 2 Israel Journal of Mathematics 2 Mathematical Notes 2 Archivum Mathematicum 2 Bulletin of the London Mathematical Society 2 Colloquium Mathematicum 2 Compositio Mathematica 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Zeitschrift 2 Bulletin of the Iranian Mathematical Society 2 Journal of the American Mathematical Society 2 Publicacions Matemàtiques 2 Journal of Cryptology 2 Mathematica Bohemica 2 Expositiones Mathematicae 2 Honam Mathematical Journal 2 Matematychni Studiï 2 Journal of the European Mathematical Society (JEMS) 2 Foundations of Computational Mathematics 2 JP Journal of Algebra, Number Theory and Applications 2 Mediterranean Journal of Mathematics 2 Advances in Difference Equations 2 Science China. Mathematics 2 Forum of Mathematics, Sigma 2 Annales Mathématiques du Québec 2 La Matematica 1 Communications in Algebra 1 American Journal of Mathematics 1 Applied Mathematics and Computation 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 Numerische Mathematik 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 Tamkang Journal of Mathematics 1 Bulletin of the Korean Mathematical Society 1 Physica D 1 Boletim da Sociedade Portuguesa de Matemática 1 Journal of Symbolic Computation ...and 42 more Serials all top 5 Cited in 20 Fields 591 Number theory (11-XX) 121 Algebraic geometry (14-XX) 11 Information and communication theory, circuits (94-XX) 5 Combinatorics (05-XX) 4 Group theory and generalizations (20-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Field theory and polynomials (12-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 1 Commutative algebra (13-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) 1 Quantum theory (81-XX) Citations by Year