Values of abelianL-functions at negative integers over totally real fields

Deligne, Pierre; Ribet, Kenneth A.

doi:10.1007/BF01453237

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Values of abelianL-functions at negative integers over totally real fields

Author(s): Pierre Deligne , Kenneth A. Ribet

Publication date Created: October 1980

Publication date (Print): October 1980

Journal: Inventiones Mathematicae

Publisher: Springer Nature

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Sur certains groupes d'opérateurs unitaires

André Weil (1964)

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On construction of holomorphic cusp forms of half integral weight

Takuro Shintani (1975)

In [10], G.Shimura gave a method of constructing holomorphic cusp forms of even integral weight from given forms of half integral weight. In this paper, we try to present an inverse construction. To state our main result, some notational preliminaries are necessary. We denote by the complex upper half plane.