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Fourier coefficients and Hecke eigenvalues

Published online by Cambridge University Press:  22 January 2016

Winfried Kohnen
Winfried Kohnen*
Affiliation:
Mathematisches Institut, Universität Heidelberg, Im Neuenheimer Feld 288, 69120 Heidelberg, Germany, winfried@mathi.uni-heidelberg.DE
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Abstract.

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We will give certain asymptotic relations between p-eigenvalues and certain Fourier coefficients of Siegel cusp forms of genus g. In particular, it will turn out that potential strong bounds for the Fourier coefficients will imply potential strong bounds for the eigenvalues.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 149 , March 1998 , pp. 83 - 92
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1998

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