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

12 papers

math.NT2026

Indivisibility of ray class groups of real quadratic fields

Emmanuel Lecouturier, Christian Maire

Let $ℓ$ , p $\geq$ 5 be primes such that p | ( $ℓ$ -1). Let $Δ$ > 0 be the fundamental discriminant of a real quadratic field in which $ℓ$ splits. We denote by h - ${\e…

math.NT2025

Eisenstein cocycles for imaginary quadratic fields

Emmanuel Lecouturier, Romyar Sharifi, Sheng-Chi Shih +1

We construct Eisenstein cocycles for arithmetic subgroups of GL_2 of imaginary quadratic fields valued in second K-groups of products of two CM elliptic curves. We use these to con…

math.NT2023★ 1 cited

On the arithmetic of special values of $L$ -functions for certain abelian varieties with a rational isogeny

Emmanuel Lecouturier, Jun Wang

Let $N$ and $p$ be primes $\geq 5$ such that $p ∣∣ N - 1$ . In this situation, Mazur defined and studied the $p$ -Eisenstein quotient $J ~^{(p)}$ of $J_{0} (N)$ . We prove a k…

math.NT2022★ 1 cited

Level compatibility in Sharifi's conjecture

Emmanuel Lecouturier, Jun Wang

Sharifi has constructed a map from the first homology of the modular curve $X_{1} (M)$ to the $K$ -group $K_{2} (Z [ζ_{M}, \frac{1}{M}])$ , where $ζ_{M}$ is a primitive $M$ th root of u…

math.NT2022

On triple product L-functions and a conjecture of Harris--Venkatesh

Emmanuel Lecouturier

Harris and Venkatesh made a conjecture relating the derived Hecke operators and the adjoint motivic cohomology in the setting of weight one modular forms. This conjecture was prove…

math.NT2019★ 1 cited

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