On construction of holomorphic cusp forms of half integral weight

Takuro Shintani

Type: Article

Publication Date: 1975-09-01

Citations: 270

DOI: https://doi.org/10.1017/s0027763000016706

Abstract

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.

Locations

Nagoya Mathematical Journal - View - PDF
Project Euclid (Cornell University) - View - PDF

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