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Central values of L-functions over CM fields

Hui Xue
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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.

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Hui Xue. 2005-11-10. Central values of L-functions over CM fields. https://arxiv.org/abs/math/0511274

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