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On Shimura’s Correspondence for Modular Forms of Half-Integral Weight

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Automorphic Forms, Representation Theory and Arithmetic

Part of the book series: Tata Institute of Fundamental Research Studies in Mathematics ((TATA STUDIES))

Abstract

G. Shimura has shown how to attach to each holomorphic cusp form of half-integral weight a modular form of even integral weight. More precisely, suppose f(z) is a cusp form of weight k/2, level N, and character χ.

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Authors
  1. S. Gelbart
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  2. I. Piatetski-Shapiro
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© 1981 Springer-Verlag Berlin Heidelberg

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Gelbart, S., Piatetski-Shapiro, I. (1981). On Shimura’s Correspondence for Modular Forms of Half-Integral Weight. In: Automorphic Forms, Representation Theory and Arithmetic. Tata Institute of Fundamental Research Studies in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-00734-1_1

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  • DOI: https://doi.org/10.1007/978-3-662-00734-1_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10697-5

  • Online ISBN: 978-3-662-00734-1

  • eBook Packages: Springer Book Archive

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