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Central values of L-functions over CM fields

✍ Scribed by Hui Xue

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 328 KB
Volume: 122
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2006.05.010

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✦ Synopsis

We prove an explicit formula for the central values of certain Rankin L-functions. These L-functions are the L-functions attached to Hilbert newforms over a totally real field F , twisted by unitary Hecke characters of a totally imaginary quadratic extension of F . This formula generalizes our former result on L-functions twisted by finite CM characters.

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