Twisted L-functions over number fields and Hilbert's eleventh problem

Fuente: arXiv
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Main Authors: Blomer, Valentin, Harcos, Gergely
Format: Preprint
Published: 2009
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author Blomer, Valentin
Harcos, Gergely
author_facet Blomer, Valentin
Harcos, Gergely
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_0904_2429
institution arXiv
publishDate 2009
record_format arxiv
spellingShingle Twisted L-functions over number fields and Hilbert's eleventh problem
Blomer, Valentin
Harcos, Gergely
Number Theory
11F41, 11F70, 11M41 (Primary) 11E45, 11F72 (Secondary)
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.
title Twisted L-functions over number fields and Hilbert's eleventh problem
topic Number Theory
11F41, 11F70, 11M41 (Primary) 11E45, 11F72 (Secondary)
url https://arxiv.org/abs/0904.2429