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Cusp forms of weight 3/2

Published online by Cambridge University Press:  22 January 2016

Hisashi Kojima
Hisashi Kojima*
Affiliation:
Mathematical Institute, Tohoku University, Sendai, 980Japan
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In this paper we deal with the problem (C) in § 4 of [4]. Let Ik be the Shimura mapping in [4] of Sk(4N, χ) into k-1(N′ χ2) (see p. 458). The problem (C) can be stated as follows: I3(f) is a cusp form if and only if ‹f, h› = 0 for all h ∈ U, where U is the vector space spanned by every theta series of S3(4N, χ) associated with some Dirichlet character.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 79 , October 1980 , pp. 111 - 122
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

References

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