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Modular descent of Siegel modular forms of half integral weight and an analogy of the Maass relation

Published online by Cambridge University Press:  22 January 2016

Yoshio Tanigawa
Yoshio Tanigawa*
Affiliation:
Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-ku, Nagoya 464, Japan
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In [8], H. Maass introduced the ‘Spezialschar’ which is now called the Maass space. It is defined by the relation of the Fourier coefficients of modular forms as follows. Let f be a Siegel modular form on Sp(2,Z) of weight k, and let be its Fourier expansion, where . Then f belongs to the Maass space if and only if

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 102 , June 1986 , pp. 51 - 77
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1986

References

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