2

Elliptic curves over real quadratic fields are modular

Freitas, Nuno, Le Hung, Bao V., Siksek, Samir
Journal:
Inventiones mathematicae
Year:
2015
Language:
english
File:
PDF, 502 KB
english, 2015
3

Fermat’s last theorem over some small real quadratic fields

Freitas, Nuno, Siksek, Samir
Journal:
Algebra & Number Theory
Year:
2015
Language:
english
File:
PDF, 1.02 MB
english, 2015
4

On the asymptotic Fermat’s last theorem over number fields

Şengün, Mehmet Haluk, Siksek, Samir
Journal:
Commentarii Mathematici Helvetici
Year:
2018
Language:
english
File:
PDF, 304 KB
english, 2018
5

ON PERFECT POWERS IN LUCAS SEQUENCES

BUGEAUD, YANN, LUCA, FLORIAN, MIGNOTTE, MAURICE, SIKSEK, SAMIR
Journal:
International Journal of Number Theory
Year:
2005
Language:
english
File:
PDF, 309 KB
english, 2005
6

Height difference bounds for elliptic curves over number fields

J.E. Cremona, M. Prickett, Samir Siksek
Journal:
Journal of Number Theory
Year:
2006
Language:
english
File:
PDF, 266 KB
english, 2006
7

Sur les nombres de Fibonacci de la forme

Yann Bugeaud, Maurice Mignotte, Samir Siksek
Journal:
Comptes Rendus Mathematique
Year:
2004
Language:
french
File:
PDF, 86 KB
french, 2004
8

On the -linear independence of the sums

Abdulaziz Deajim, Samir Siksek
Journal:
Journal of Number Theory
Year:
2011
Language:
english
File:
PDF, 122 KB
english, 2011
10

Every integer greater than 454 is the sum of at most seven positive cubes

Siksek, Samir
Journal:
Algebra & Number Theory
Year:
2016
Language:
english
File:
PDF, 1.02 MB
english, 2016
11

A Mordell–Weil theorem for cubic hypersurfaces of high dimension

Papanikolopoulos, Stefanos, Siksek, Samir
Journal:
Algebra & Number Theory
Year:
2017
Language:
english
File:
PDF, 931 KB
english, 2017
12

Shifted powers in Lucas–Lehmer sequences

Bennett, Michael A., Patel, Vandita, Siksek, Samir
Journal:
Research in Number Theory
Year:
2019
Language:
english
File:
PDF, 486 KB
english, 2019
13

Perfect powers expressible as sums of two cubes

Imin Chen, Samir Siksek
Journal:
Journal of Algebra
Year:
2009
Language:
english
File:
PDF, 261 KB
english, 2009
15

On the number of Mordell–Weil generators for cubic surfaces

Samir Siksek
Journal:
Journal of Number Theory
Year:
2012
Language:
english
File:
PDF, 308 KB
english, 2012
17

The generalised Fermat equationx2

Siksek, Samir, Stoll, Michael
Journal:
Archiv der Mathematik
Year:
2014
Language:
english
File:
PDF, 228 KB
english, 2014
19

Squares in arithmetic progression over cubic fields

Bremner, Andrew, Siksek, Samir
Journal:
International Journal of Number Theory
Year:
2015
Language:
english
File:
PDF, 138 KB
english, 2015
21

The asymptotic Fermat’s Last Theorem for five-sixths of real quadratic fields

Freitas, Nuno, Siksek, Samir
Journal:
Compositio Mathematica
Year:
2015
Language:
english
File:
PDF, 568 KB
english, 2015
23

Explicit Chabauty over number fields

Siksek, Samir
Journal:
Algebra & Number Theory
Year:
2013
Language:
english
File:
PDF, 1.04 MB
english, 2013
24

PERFECT POWERS THAT ARE SUMS OF CONSECUTIVE CUBES

Bennett, Michael A., Patel, Vandita, Siksek, Samir
Journal:
Mathematika
Year:
2017
Language:
english
File:
PDF, 351 KB
english, 2017
25

Rational points on Erdős–Selfridge superelliptic curves

Bennett, Michael A., Siksek, Samir
Journal:
Compositio Mathematica
Year:
2016
Language:
english
File:
PDF, 378 KB
english, 2016
26

On Happy Numbers

El-Sedy, Esam, Siksek, Samir
Journal:
Rocky Mountain Journal of Mathematics
Year:
2000
Language:
english
File:
PDF, 103 KB
english, 2000
27

Chabauty for symmetric powers of curves

Siksek, Samir
Journal:
Algebra & Number Theory
Year:
2009
Language:
english
File:
PDF, 1.16 MB
english, 2009
29

Points of non-differentiability of convex functions

Samir Siksek, Esam El Sedy
Journal:
Applied Mathematics and Computation
Year:
2004
Language:
english
File:
PDF, 163 KB
english, 2004
30

Sieving for Rational Points on Hyperelliptic Curves

Samir Siksek
Journal:
Mathematics of Computation
Year:
2001
Language:
english
File:
PDF, 1.15 MB
english, 2001
34

On Standardized Models of Isogenous Elliptic Curves

Samir Siksek
Journal:
Mathematics of Computation
Year:
2005
Language:
english
File:
PDF, 152 KB
english, 2005
35

Descent on Picard groups using functions on curves

Siksek, Samir
Journal:
Bulletin of the Australian Mathematical Society
Year:
2002
Language:
english
File:
PDF, 277 KB
english, 2002
37

On standardized models of isogenous elliptic curves

Siksek, Samir
Journal:
Mathematics of Computation
Year:
2004
Language:
english
File:
PDF, 99 KB
english, 2004
38

On powers that are sums of consecutive like powers

Patel, Vandita, Siksek, Samir
Journal:
Research in Number Theory
Year:
2017
Language:
english
File:
PDF, 558 KB
english, 2017
39

Quadratic points on modular curves

Ozman, Ekin, Siksek, Samir
Journal:
Mathematics of Computation
Year:
2018
File:
PDF, 365 KB
2018
41

Fibonacci numbers at most one away from a perfect power

Bugeaud, Yann, Luca, Florian, Mignotte, Maurice, Siksek, Samir
Journal:
Elemente der Mathematik
Year:
2008
Language:
english
File:
PDF, 151 KB
english, 2008