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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.NT2020
Second moment of Dirichlet -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 - functions associated to subgroups of characters of sufficiently large size. Our proof relies on the study of cert…