E. Lecouturier

activity

20102026

most citedOn the arithmetic of special values of

L

-functions for certain abelian varieties with a rational isogeny

1 citations · 4 across the 10 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.NT2019★ 1 cited

On the Mazur--Tate conjecture for prime conductor and Mazur's Eisenstein ideal

Emmanuel Lecouturier

In 1995, Ehud de Shalit proved an analogue of a conjecture of Mazur--Tate for the modular Jacobian $J_{0} (p)$ . His main result was valid away from the Eisenstein primes. We complete…

math.NT2019★ 1 cited

On a conjecture of Sharifi and Mazur's Eisenstein ideal

Emmanuel Lecouturier, Jun Wang

Let $N$ and $p$ be prime numbers $\geq 5$ such that $p$ divides $N - 1$ . Let $I$ be Mazur's Eisenstein ideal of level $N$ and $H_{+}$ be the plus part of $H_{1} (X_{0} (N), Z_{p})$ fo…

math.NT2019

Mixed modular symbols and the generalized cuspidal 1-motive

Emmanuel Lecouturier

We define and study the space of mixed modular symbols for a given finite index subgroup $Γ$ of $S L_{2} (Z)$ . This is an extension of the usual space of modular symbols, whic…