Siksek, Samir
- Classical and modular approaches to exponential Diophantine equations. I. Fibonacci and Lucas perfect powers
2004/03/02 by Yann Bugeaud, Bugeaud, Yann, Maurice Mignotte +3 · 11 citations
Mathematics · Physics and Astronomy · #11B39 #11D59 #11D61 #11J86 #Advanced Combinatorial Mathematics #Advanced Mathematical Theories and Applications #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B39 #msc:11D59 #msc:11D61 #msc:11J86
- Elliptic Curves over Real Quadratic Fields are Modular
2013/10/26 by Nuno Freitas, Freitas, Nuno, Bao V. Le Hung +3 · 5 citations
Computer Science · Mathematics · #11F80 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #FOS: Mathematics #Number Theory (math.NT)
- Perfect powers expressible as sums of two fifth or seventh powers
2013/09/16 by Dahmen, Sander R., Siksek, Samir · 3 citations
#11D41 #FOS: Mathematics #Number Theory (math.NT)
- Criteria for irreducibility of mod p representations of Frey curves
2013/09/18 by Nuno Freitas, Freitas, Nuno, Samir Siksek +1 · 2 citations
Computer Science · Mathematics · #11F80 #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation
- On the asymptotic Fermat's Last Theorem over number fields
2016/09/14 by Sengun, Mehmet Haluk, Siksek, Samir · 2 citations
#11D41 #FOS: Mathematics #Number Theory (math.NT)
- Class field theory, Diophantine analysis and the asymptotic Fermat's\n Last Theorem
2019/02/20 by Nuno Freitas, Alain Kraus, Freitas, Nuno +3 · 2 citations
Mathematics · #11D41 (Primary) #11J86 (Secondary) #11R37 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #History and Theory of Mathematics #Number Theory (math.NT)
- Classical and modular approaches to exponential Diophantine equations II. The Lebesgue-Nagell equation
2004/05/12 by Yann Bugeaud, Maurice Mignotte, Bugeaud, Yann +3 · 1 citation
Mathematics · #11D59 #11D61 #11J86 #11Y50 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11D59 #msc:11D61 #msc:11J86 #msc:11Y50
- Explicit Chabauty over Number Fields
2010/10/13 by Siksek, Samir · 1 citation
#11G30 #FOS: Mathematics #Number Theory (math.NT)
- Quadratic Chabauty for Modular Curves
2017/04/03 by Samir Siksek, Siksek, Samir · 1 citation
Computer Science · Mathematics · #11G35 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation
- A conjecture of Erdos, supersingular primes and short character sums
2017/09/04 by Bennett, Michael A., Siksek, Samir · 1 citation
#11D61 #FOS: Mathematics #Number Theory (math.NT)
- S-Unit Equations and the Asymptotic Fermat Conjecture over Number Fields
2020/03/25 by Ozman, Ekin, Siksek, Samir · 1 citation
#FOS: Mathematics #Number Theory (math.NT)
- Differences between perfect powers : the Lebesgue-Nagell Equation
2021/09/19 by Bennett, Michael A., Siksek, Samir · 1 citation
#11D61 #FOS: Mathematics #Number Theory (math.NT)