中文

Central values of L-functions over CM fields

数论 2007-05-23 v1

摘要

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.

关键词

引用

@article{arxiv.math/0511274,
  title  = {Central values of L-functions over CM fields},
  author = {Hui Xue},
  journal= {arXiv preprint arXiv:math/0511274},
  year   = {2007}
}

备注

34 pages