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

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

2009-04-16

arxiv.org/abs/0904.2429v3

Geom. Funct. Anal. 20 (2010), 1-52

Mathematics

Number Theory

44 pages, LaTeX2e, submitted; v2: Introduction revised, minor changes elsewhere; v3: Small corrections and additions

Scientific paper

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.

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