Central values of L-functions over CM fields
Number Theory
2007-05-23 v1
Abstract
In the paper we prove an explicit formula for the central values of certain Rankin L-functions. These L-functions are L-functions of Hilbert newforms over a totally real field F, twisted by unitary Hecke characters of a totally imaginary quadratic extension of F. The formula generalizes our former result on L-functions twisted by finite characters. It also eliminates the restriction on ramifications of Popa's paper.
Keywords
Cite
@article{arxiv.math/0511274,
title = {Central values of L-functions over CM fields},
author = {Hui Xue},
journal= {arXiv preprint arXiv:math/0511274},
year = {2007}
}
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34 pages