15 citations · 58 across the 36 of their papers we have counts for
41 papers
Multiplicative dependence in the sumset of multiplicative groups
Yuri Bilu, Florian Luca
Let and be finitely generated multiplicative groups of algebraic numbers such that is a finite group. We show that, up to finitely many exceptions, non-zero sums $…
Values of algebraic functions at Liouville numbers
Yuri Bilu, Diego Marques
In 1953 LeVeque proved the existence of -numbers by showing that for some specially defined Liouville number , the th root is in . In this article we stud…
Some explicit values of a -multiple zeta function whose denominator power is not uniform
Yuri Bilu, Hideaki Ishikawa, Takao Komatsu
One of the generalizations of multiple zeta values is the -version, and in the case of finite sums, they may be expressed explicitly in polynomial form. Several results have bee…
Skolem Problem for Linear Recurrence Sequences with 4 Dominant Roots (after Mignotte, Shorey, Tijdeman, Vereshchagin and Bacik)
Yuri Bilu
It is an exposition of the work of Mignotte, Shorey, Tijdeman, Vereshchagin and Bacik on decidability of the vanishing problem for linear recurrence sequences of order 4.
On a non-Archimedean analogue of a question of Atkin and Serre
Yuri F Bilu, Sanoli Gun, Sunil L Naik
In this article, we investigate a non-Archimedean analogue of a question of Atkin and Serre. More precisely, we derive lower bounds for the largest prime factor of non-zero Fourier…
Twisted rational zeros of linear recurrence sequences
Yuri Bilu, Florian Luca, Joris Nieuwveld +2
We introduce the notion of a twisted rational zero of a non-degenerate linear recurrence sequence (LRS). We show that any non-degenerate LRS has only finitely many such twisted rat…