Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers Y Bugeaud, M Mignotte, S Siksek
Annals of mathematics, 969-1018, 2006
491 2006 Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation Y Bugeaud, M Mignotte, S Siksek
Compositio Mathematica 142 (1), 31-62, 2006
137 2006 Elliptic curves over real quadratic fields are modular N Freitas, BV Le Hung, S Siksek
Inventiones mathematicae 201 (1), 159-206, 2015
136 2015 Explicit 4-descents on an elliptic curve JR Merriman, S Siksek, NP Smart
Acta arithmetica 77 (4), 385-404, 1996
93 1996 Infinite descent on elliptic curves S Siksek
The Rocky Mountain Journal of Mathematics, 1501-1538, 1995
85 1995 The asymptotic Fermat’s last theorem for five-sixths of real quadratic fields N Freitas, S Siksek
Compositio Mathematica 151 (8), 1395-1415, 2015
83 2015 Integral points on hyperelliptic curves Y Bugeaud, M Mignotte, S Siksek, M Stoll, S Tengely
Algebra & Number Theory 2 (8), 859-885, 2008
78 2008 Height difference bounds for elliptic curves over number fields JE Cremona, M Prickett, S Siksek
Journal of Number Theory 116 (1), 42-68, 2006
73 2006 Fibonacci numbers at most one away from a perfect power F Luca, Y Bugeaud, M Mignotte, S Siksek
Elemente der Mathematik 63 (2), 65-75, 2008
65 2008 ON THE DIOPHANTINE EQUATION x2 + C = 2yn . FS MURIEFAH, F LUCA, S SIKSEK, S TENGELY
International Journal of Number Theory 5 (6), 2009
58 * 2009 Explicit Chabauty over number fields S Siksek
Algebra & Number Theory 7 (4), 765-793, 2013
50 2013 The modular approach to Diophantine equations H Cohen, S Siksek
Number Theory: Volume II: Analytic and Modern Tools, 495-527, 2007
50 2007 Fermat’s last theorem over some small real quadratic fields N Freitas, S Siksek
Algebra & Number Theory 9 (4), 875-895, 2015
48 2015 On happy numbers E El-Sedy, S Siksek
The Rocky Mountain Journal of Mathematics, 565-570, 2000
47 2000 Chabauty for symmetric powers of curves S Siksek
Algebra & Number Theory 3 (2), 209-236, 2009
45 2009 Criteria for Irreducibility of mod Representations of Frey Curves N Freitas, S Siksek
Journal de théorie des nombres de Bordeaux 27 (1), 67-76, 2015
44 2015 Perfect powers expressible as sums of two cubes I Chen, S Siksek
Journal of Algebra 322 (3), 638-656, 2009
39 2009 On factorials expressible as sums of at most three Fibonacci numbers F Luca, S Siksek
Proceedings of the Edinburgh Mathematical Society 53 (3), 747-763, 2010
38 2010 A multi-Frey approach to some multi-parameter families of Diophantine equations Y Bugeaud, M Mignotte, S Siksek
Canadian Journal of Mathematics 60 (3), 491-519, 2008
36 2008 Quadratic points on modular curves E Ozman, S Siksek
Mathematics of Computation 88 (319), 2461-2484, 2019
35 2019