Institut de Mathématiques de Bordeaux

output

19962026

most citedThe hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

1k citations

researchers with a paper here

collaborating institutions

Showing math.NTShow all

176 papers · 1 filter

math.NT2025

Prime Ideal Races With Several Competitors

A Bailleul, M Hayani

We investigate races among prime ideals in number fields when there are two or more competing conjugacy classes. In their work [4], Fiorilli and Jouve studied two-way races in numb…

math.NT2025

Galois groups of reductions modulo p of D-finite series

Xavier Caruso, Florian Fürnsinn, Daniel Vargas-Montoya

The aim of this paper is to investigate the algebraicity behavior of reductions of $D$ -finite power series modulo prime numbers. For many classes of D-finite functions, such as dia…

math.NT2025

Distinct differences of singular moduli

Guy Fowler, Emanuele Tron

Let $E_{1}, E_{2} / C$ be non-isomorphic elliptic curves with complex multiplication. We prove that the pair $(E_{1}, E_{2})$ is characterised, up to isomorphism, by the differenc…

math.NT2025

Variations on a theme of Apéry

Henri Cohen, Wadim Zudilin

Apéry's remarkable discovery of rapidly converging continued fractions with small coefficients for $ζ (2)$ and $ζ (3)$ has led to a flurry of important activity in an incredible vari…

math.NT2024

Wieferich primes for Drinfeld modules

Xavier Caruso, Quentin Gazda, Alexis Lucas

The aim of this paper is to discuss the notion of Wieferich primes in the context of Drinfeld modules. Our main result is a surprising connection between the proprety of a monic ir…

math.NT2024

On capitulation of logarithmic classes

Jean-François Jaulent

We establish a logarithmic version of the classical result of Artin-Furw{ä}ngler on the principalization ofideal classes in the Hilbert class-field by applying the group theoretic…