Raphael Zacharias

activity

20162019

most citedPeriods and Reciprocity II

3 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2019★ 3 cited

Periods and Reciprocity II

Raphaël Zacharias

Let $F$ be a number field and $q, l$ two coprime integral ideals with $q$ squarefree and $π_{1}, π_{2}$ two fixed unitary automorphic representa…

math.NT2018

Periods and Reciprocity I

Raphaël Zacharias

Given $F$ a number field with ring of integers $O_{F}$ and $p, q$ two squarefree and coprime ideals of $O_{F}$ ,…

math.NT2017

Simultaneous non-vanishing for Dirichlet L-functions

Raphael Zacharias

We extend the work of Fouvry, Kowalski and Michel on correlation between Hecke eigenvalues of modular forms and algebraic trace functions in order to establish an asymptotic formul…

math.NT2016

Mollification of the Fourth Moment of Dirichlet L-functions

Raphaël Zacharias

We evaluate some twisted fourth moment of Dirichlet $L$ -functions at the central point s=1/2 and for prime moduli q. The principal tool is a careful analysis of a shifted convoluti…