type
Page
status
Published
date
Sep 26, 2024
slug
research
summary
tags
category
icon
password
My research interest lies in number theory. In particular, my PhD thesis concerns the arithmetic of linear recurrence sequences and related problems, especially the divisibility properties of Lucas sequences.
I am also interested in exploring explicit integral/rational solutions of Diophantine equations.
Publications and Preprints
- On big primitive divisors of Fibonacci numbers, Ramanujan J. 67.1 (2025), p. 20. arXiv version
- Stewart’s theorem revisited: suppressing the norm hypothesis, Bol. Soc. Mat. Mex. (3) 28 (2022), no. 3, Paper No. 60, 10. MR 4462796 arXiv version
- Big prime factors in orders of elliptic curves over finite fields (with Yu. Bilu and F. Luca), Publ. Math. Debrecen 102 (2023), no. 3-4, 459–474. MR 4592786 arXiv version
- Uniform explicit Stewart theorem on prime factors of linear recurrences (with Yu. Bilu and S. Gun), Acta Arith. 206 (2022), no. 3, 223–243. MR 4522848 arXiv version
