Twisted moments of L-functions and spectral reciprocity
Number Theory
2019-05-29 v2
Abstract
A reciprocity formula is established that expresses the fourth moment of automorphic L-functions of level q twisted by the ell-th Hecke eigenvalue as the fourth moment of automorphic L-functions of level ell twisted by the q-th Hecke eigenvalue. Direct corollaries include subconvexity bounds for L-functions in the level aspect and a short proof of an upper bound for the fifth moment of automorphic L-functions.
Keywords
Cite
@article{arxiv.1706.01245,
title = {Twisted moments of L-functions and spectral reciprocity},
author = {Valentin Blomer and Rizwanur Khan},
journal= {arXiv preprint arXiv:1706.01245},
year = {2019}
}
Comments
42 pages, minor errors in the first version corrected