4 papers · 1 filter
L-functions with n-th order twists
Valentin Blomer, Leo Goldmakher, Benoit Louvel
Let K be a number field containing the n-th roots of unity for some n > 2. We prove a uniform subconvexity result for a family of double Dirichlet series built out of central value…
A quadratic large sieve inequality over number fields
Leo Goldmakher, Benoit Louvel
We formulate and prove a large sieve inequality for quadratic characters over a number field. To do this, we introduce the notion of an n-th order Hecke family. We develop the basi…
The first moment of Salie sums
Benoit Louvel
The main objective of this article is to study the asymptotic behavior of Salie sums over arithmetic progressions. We deduce from our asymptotic formula that Salie sums possess a b…
On the distribution of cubic exponential sums
Benoit Louvel
Using the theory of metaplectic forms,we study the asymptotic behavior of cubic exponential sums over the ring of Eisenstein integers. In the first part of the paper, some non-triv…