Convolution formula for the sums of generalized Dirichlet L-functions
Number Theory
2018-07-10 v2
Abstract
Using the Kuznetsov trace formula, we prove a spectral decomposition for the sums of generalized Dirichlet -functions. Among applications are an explicit formula relating norms of prime geodesics to moments of symmetric square -functions and an asymptotic expansion for the average of central values of generalized Dirichlet -functions.
Cite
@article{arxiv.1709.01365,
title = {Convolution formula for the sums of generalized Dirichlet L-functions},
author = {Olga Balkanova and Dmitry Frolenkov},
journal= {arXiv preprint arXiv:1709.01365},
year = {2018}
}
Comments
to appear in Revista Matem\'atica Iberoamericana