20 citations · 21 across the 7 of their papers we have counts for
8 papers
Drinfeld singular moduli, hyperbolas, units
Bruno Anglès, Cécile Armana, Vincent Bosser +1
Let be a prime power and consider Drinfeld modules of rank 2 over . We prove that there are no points with coordinates being Drinfeld singular moduli, on…
Upper bound for the height of S-integral points on elliptic curves
Vincent Bosser, Andrea Surroca
We establish new upper bounds for the height of the S-integral points of an elliptic curve. This bound is explicitly given in terms of the set S of places of the number field K inv…
Arithmetic of characteristic p special L-values (with an appendix by V. Bosser)
Bruno Anglès, Lenny Taelman
Recently the second author has associated a finite $\F_q[T]$-module to the Carlitz module over a finite extension of $\F_q(T)$. This module is an analogue of the ideal class gr…
Elliptic logarithms, diophantine approximation and the Birch and Swinnerton-Dyer conjecture
Vincent Bosser, Andrea Surroca
Most, if not all, unconditional results towards the abc-conjecture rely ultimately on classical Baker's method. In this article, we turn our attention to its elliptic analogue. Usi…
Hankel-type determinants and Drinfeld quasi-modular forms
Vincent Bosser, Federico Pellarin
In this paper we introduce a class of determinants "of Hankel type". We use them to compute certain remarkable families of Drinfeld quasi-modular forms.
Drinfeld -quasi-modular forms
Vincent Bosser, Federico Pellarin
The aim of this article is twofold: first, improve the multiplicity estimate obtained by the second author for Drinfeld quasi-modular forms; and then, study the structure of certai…