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On construction of holomorphic cusp forms of half integral weight

Published online by Cambridge University Press:  22 January 2016

Takuro Shintani
Takuro Shintani*
Affiliation:
Department of Mathematics, Faculty of Science, University of Tokyo
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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 58 , September 1975 , pp. 83 - 126
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1975

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