Samir Siksek

1. Elliptic curves over real quadratic fields are modular
   2014/11/03 by Nuno Freitas, Bao V. Le Hung, Samir Siksek · 13 citations
   Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Advanced Algebra and Geometry
2. 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
3. Elliptic Curves over Real Quadratic Fields are Modular
   2013/10/26 by Nuno Freitas, Bao V. Le Hung, Freitas, Nuno +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)
4. 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
5. 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)
6. Classical and modular approaches to exponential Diophantine equations II. The Lebesgue-Nagell equation
   2004/05/12 by Yann Bugeaud, Bugeaud, Yann, Maurice Mignotte +3 · 1 citation
   Mathematics · #11D59 #11D61 #11J86 #11Y50 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11D59 #msc:11D61 #msc:11J86 #msc:11Y50
7. 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
8. On a character-twisted analogue of Schäffer's equation
   2026/07/16 by Kálmán Györy, Vandita Patel, Ákos Pintér +1
   #math.NT