25 citations · 52 across the 10 of their papers we have counts for
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 distribution of the maximum of character sums
Jonathan Bober, Leo Goldmakher
We obtain explicit bounds on the moments of character sums, refining estimates of Montgomery and Vaughan. As an application we obtain results on the distribution of the maximal mag…
Lower bounds on odd order character sums
Leo Goldmakher, Youness Lamzouri
A classical result of Paley shows that there are infinitely many quadratic characters whose character sums get as large as ; this implies that a con…