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On the Kohnen-Zagier Formula in the Case of ‘4 × General Odd’ Level

Published online by Cambridge University Press:  11 January 2016

Hiroshi Sakata
Hiroshi Sakata*
Affiliation:
Waseda University Senior High School, Kamisyakujii 3-31-1, Nerima-ku, Tokyo, 177-0044, Japan, sakata@waseda.jp
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Abstract

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We study the Fourier coefficients of cusp forms of half integral weight and generalize the Kohnen-Zagier formula to the case of ‘4 × general odd’ level by using results of Ueda. As an application, we obtain a generalization of the result of Luo-Ramakrishnan [11] to the case of arbitrary odd level.

Keywords

11F3011F3711F67
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 190 , 2008 , pp. 63 - 85
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2008

References

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