150 citations · 663 across the 47 of their papers we have counts for
5 papers · 2 filters
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…
On the 4-norm of an automorphic form
Valentin Blomer
We prove the optimal upper bound sum || f ||_4^4 << q^{eps} where f runs over an orthonormal basis of Maass cusp forms of prime level q and bounded spectral parameter.
Hybrid bounds for automorphic forms on ellipsoids over number fields
Valentin Blomer, Philippe Michel
We prove upper bounds for Hecke-Laplace eigenfunctions on certain Riemannian manifolds of arithmetic type. The manifolds under consideration are d-fold products of 2-spheres or 3-s…
Period integrals and Rankin-Selberg L-functions on GL(n)
Valentin Blomer
We compute the second moment of a certain family of Rankin-Selberg -functions L(f x g, 1/2) where f and g are Hecke-Maass cusp forms on GL(n). Our bound is as strong as the Lind…
Non-vanishing of L-functions, the Ramanujan conjecture, and families of Hecke characters
Valentin Blomer, Farrell Brumley
We prove a non-vanishing result for families of $\GL_n\times\GL_n$ Rankin-Selberg -functions in the critical strip, as one factor runs over twists by Hecke characters. As an app…