S. Louboutin

activity

20202023

L

-functions over subgroups for non primitive characters, Dedekind sums and bounds on relative class numbers

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2023

Dedekind sums and class numbers of imaginary abelian number fields

Stéphane Louboutin

As a consequence of their work, Bruce C. Berndt and Ronald J. Evans in 1977 and Larry Joel Goldstein and Michael Razar in 1976 obtained a formula for the square of the class number…

math.NT2022★ 1 cited

Mean square values of $L$ -functions over subgroups for non primitive characters, Dedekind sums and bounds on relative class numbers

Stéphane R. Louboutin, Marc Munsch

An explicit formula for the mean value of $∣ L (1, χ) ∣^{2}$ is known, where $χ$ runs over all odd primitive Dirichlet characters of prime conductors $p$ . Bounds on the relative…

math.NT2020

Second moment of Dirichlet $L$ -functions, character sums over subgroups and upper bounds on relative class numbers

Stéphane Louboutin, Marc Munsch

We prove an asymptotic formula for the mean-square average of $L$ - functions associated to subgroups of characters of sufficiently large size. Our proof relies on the study of cert…

Dedekind sums and class numbers of imaginary abelian number fields

Mean square values of L-functions over subgroups for non primitive characters, Dedekind sums and bounds on relative class numbers

Second moment of Dirichlet L-functions, character sums over subgroups and upper bounds on relative class numbers

Mean square values of $L$ -functions over subgroups for non primitive characters, Dedekind sums and bounds on relative class numbers

Second moment of Dirichlet $L$ -functions, character sums over subgroups and upper bounds on relative class numbers