Values ofL-series of modular forms at the center of the critical strip

Kohnen, W.; Zagier, D.

doi:10.1007/BF01389166

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Values ofL-series of modular forms at the center of the critical strip

Author(s): W. Kohnen , D. Zagier

Publication date Created: June 1981

Publication date (Print): June 1981

Journal: Inventiones Mathematicae

Publisher: Springer Nature

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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.