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math.NT2025
Low-lying zeros in families of Maass form L-functions: an extended density theorem
Martin Čech, Lucile Devin, Daniel Fiorilli +2
We study the one-level density of low-lying zeros in the family of Maass form -functions of prime level tending to infinity. Generalizing the influential work of Iwaniec, Lu…
math.NT2022
On a mean value formula for multiple sums over a lattice and its dual
Andreas Strömbergsson, Anders Södergren
We prove a generalized version of Rogers' mean value formula in the space of unimodular lattices in , which gives the mean value of a multiple sum over a lattice and…
math.NT2018
Non-vanishing of Maass form L-functions at the critical point
Olga Balkanova, Bingrong Huang, Anders Södergren
In this paper, we consider the family of -functions associated to an orthonormal basis of even Hecke-Maass forms for the mod…