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 | 281 | 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 | 111 | 2006 |

Explicit 4-descents on an elliptic curve JR Merriman, S Siksek, NP Smart Acta arithmetica 77 (4), 385-404, 1996 | 92 | 1996 |

Physics CE Bennett | 84 | 1956 |

Elliptic curves over real quadratic fields are modular N Freitas, BV Le Hung, S Siksek Inventiones mathematicae 201 (1), 159-206, 2015 | 78 | 2015 |

Infinite descent on elliptic curves S Siksek The Rocky Mountain Journal of Mathematics, 1501-1538, 1995 | 77 | 1995 |

Height difference bounds for elliptic curves over number fields JE Cremona, M Prickett, S Siksek Journal of Number Theory 116 (1), 42-68, 2006 | 68 | 2006 |

Integral points on hyperelliptic curves Y Bugeaud, M Mignotte, S Siksek, M Stoll, S Tengely Algebra & Number Theory 2 (8), 859-885, 2008 | 66 | 2008 |

Fibonacci numbers at most one away from a perfect power Y Bugeaud, F Luca, M Mignotte, S Siksek Elemente der Mathematik 63 (2), 65-75, 2008 | 42 | 2008 |

On the Diophantine equation x2+ 52k= yn FSA Muriefah Demonstratio Mathematica 39 (2), 285-290, 2006 | 40* | 2006 |

The modular approach to Diophantine equations S Siksek Number Theory, 495-527, 2007 | 36 | 2007 |

The asymptotic Fermat's last theorem for five-sixths of real quadratic fields N Freitas, S Siksek arXiv preprint arXiv:1307.3162, 2013 | 35 | 2013 |

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 | 30 | 2008 |

Perfect powers expressible as sums of two cubes I Chen, S Siksek Journal of Algebra 322 (3), 638-656, 2009 | 28 | 2009 |

On happy numbers E El-Sedy, S Siksek The Rocky Mountain Journal of Mathematics, 565-570, 2000 | 28 | 2000 |

Explicit Chabauty over number fields S Siksek Algebra & Number Theory 7 (4), 765-793, 2013 | 27 | 2013 |

Fermat’s last theorem over some small real quadratic fields N Freitas, S Siksek Algebra & Number Theory 9 (4), 875-895, 2015 | 25 | 2015 |

On factorials expressible as sums of at most three Fibonacci numbers F Luca, S Siksek Edinburgh Mathematical Society. Proceedings of the Edinburgh Mathematical …, 2010 | 24 | 2010 |

Almost powers in the Lucas sequence Y Bugeaud, F Luca, M Mignotte, S Siksek Journal de théorie des nombres de Bordeaux 20 (3), 555-600, 2008 | 24 | 2008 |

Sur les nombres de Fibonacci de la forme qkyp Y Bugeaud, M Mignotte, S Siksek Comptes Rendus Mathematique 339 (5), 327-330, 2004 | 24 | 2004 |