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A remark on the Shimura correspondence

Published online by Cambridge University Press:  18 May 2009

Winfried Kohnen
Winfried Kohnen
Affiliation:
Universität Münster, Fachbereich Mathematik, Einsteinstr. 62, 4400 Münster, Federal Republic of Germany Max-Planck-Institut für Mathematik, Gottfried-Claren-Str. 26, 5300 Bonn 3, Federal Republic of Germany
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In [4] an identity is given which relates the product of two Fourier coefficients of a Hecke eigenform g of half-integral weight and level 4N with N odd and squarefree to the integral of a Hecke eigenform f of even integral weight associated to g under the Shimura correspondence along a geodesic period on the modular curve X0(N) This formula contains as a special case a refinement of a result of Waldspurger [6] about special values of L-series attached to f at the central point.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 30 , Issue 3 , September 1988 , pp. 285 - 291
Copyright
Copyright © Glasgow Mathematical Journal Trust 1988

References

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