Twisted L-functions over number fields and Hilbert's eleventh problem
Number Theory
2024-11-18 v3
Abstract
We prove a Burgess-like subconvex bound for twisted L-functions of a fixed irreducible cuspidal automorphic representation of GL(2) over a totally real number field. The proof is based on a spectral decomposition of shifted convolution sums and a generalized Kuznetsov formula.
Cite
@article{arxiv.0904.2429,
title = {Twisted L-functions over number fields and Hilbert's eleventh problem},
author = {Valentin Blomer and Gergely Harcos},
journal= {arXiv preprint arXiv:0904.2429},
year = {2024}
}
Comments
44 pages, LaTeX2e, submitted; v2: Introduction revised, minor changes elsewhere; v3: Small corrections and additions