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Feb. 2002 Remark on the dimension of Kohnen's spaces of half integral weight with square free level
Hisashi Kojima
Proc. Japan Acad. Ser. A Math. Sci. 78(2): 18-21 (Feb. 2002). DOI: 10.3792/pjaa.78.18

Abstract

In this note we determine explicitly the dimension of Kohnen's spaces of half integral weight with odd square free level and arbitrary character $\chi$, and show that it coincides with that of spaces of modular cusp forms of weight $2k$ with square free level and character $\chi^2$.

Citation

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Hisashi Kojima. "Remark on the dimension of Kohnen's spaces of half integral weight with square free level." Proc. Japan Acad. Ser. A Math. Sci. 78 (2) 18 - 21, Feb. 2002. https://doi.org/10.3792/pjaa.78.18

Information

Published: Feb. 2002
First available in Project Euclid: 23 May 2006

zbMATH: 1010.11024
MathSciNet: MR1887108
Digital Object Identifier: 10.3792/pjaa.78.18

Subjects:
Primary: 11F37 , 11F72

Keywords: modular forms , modular forms of half integral weight

Rights: Copyright © 2002 The Japan Academy

Vol.78 • No. 2 • Feb. 2002
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