papers
Publications (22)
math.NT2014
Fermat's Last Theorem over some small real quadratic fields
Nuno Freitas, Samir Siksek
math.NT2015
Squares in arithmetic progression over cubic fields
Andrew Bremner, Samir Siksek
math.NT2015
Superelliptic equations arising from sums of consecutive powers
Michael A. Bennett, Vandita Patel, Samir Siksek
math.NT2004
Classical and modular approaches to exponential Diophantine equations II. The Lebesgue-Nagell equation
Yann Bugeaud, Maurice Mignotte, Samir Siksek
math.NT2016
Residual Representations of Semistable Principally Polarized Abelian Varieties
Samuele Anni, Pedro Lemos, Samir Siksek
math.NT2010
Explicit Chabauty over Number Fields
Samir Siksek
math.NT2014
The Asymptotic Fermat's Last Theorem for Five-Sixths of Real Quadratic Fields
Nuno Freitas, Samir Siksek
math.NT2012
On the number of Mordell-Weil generators for cubic surfaces
Samir Siksek
math.NT2016
On powers that are sums of consecutive like powers
Vandita Patel, Samir Siksek
math.NT2014
Criteria for irreducibility of mod p representations of Frey curves
Nuno Freitas, Samir Siksek
math.NT2014
Perfect powers expressible as sums of two fifth or seventh powers
Sander R. Dahmen, Samir Siksek
math.NT2016
Modular elliptic curves over real abelian fields and the generalized Fermat equation $x^{2\ell}+y^{2m}=z^p$
Samuele Anni, Samir Siksek
math.NT2015
Every integer greater than 454 is the sum of at most seven positive cubes
Samir Siksek
math.NT2014
The Generalised Fermat Equation x^2 + y^3 = z^15
Samir Siksek, Michael Stoll
math.NT2016
On Serre's uniformity conjecture for semistable elliptic curves over totally real fields
Samuele Anni, Samir Siksek
math.NT2017
Quadratic Chabauty for Modular Curves
Samir Siksek
math.NT2010
On a problem of Hajdu and Tengely
Samir Siksek, Michael Stoll
math.NT2004
Classical and modular approaches to exponential Diophantine equations. I. Fibonacci and Lucas perfect powers
Yann Bugeaud, Maurice Mignotte, Samir Siksek
math.NT2011
Partial Descent on Hyperelliptic Curves and the Generalized Fermat Equation x^3+y^4+z^5=0
Samir Siksek, Michael Stoll
math.NT2010
Primitive Representations of Integers by $x^3+y^3+2z^3$
Samir Siksek
math.NT2016
On the asymptotic Fermat's Last Theorem over number fields
Mehmet Haluk Sengun, Samir Siksek
math.NT2014
Elliptic Curves over Real Quadratic Fields are Modular
Nuno Freitas, Bao V. Le Hung, Samir Siksek