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Linear relations between Fourier coefficients of special Siegel modular forms

Published online by Cambridge University Press:  22 January 2016

Winfried Kohnen
Winfried Kohnen*
Affiliation:
Universität Heidelberg, Mathematisches Institut, INF 288, D-69120 Heidelberg, Germany, winfried@mathi.uni-heidelberg.de
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Abstract

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In this paper we give certain linear relations between the Fourier coefficients of Siegel modular forms that are obtained from Ikeda lifts.

Keywords

11F0311F46

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 173 , 2004 , pp. 153 - 161
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2004

References

[1] Böcherer, S., Über die Fourierkoeffizienten der Siegelschen Eisensteinreihen, manuscripta math., 45 (1984), 273–288.CrossRefGoogle Scholar
[2] Böcherer, S. and Kohnen, W., On the functional equation of singular series, Abh. Math. Sem. Univ. Hamburg, 70 (2000), 281–286.CrossRefGoogle Scholar
[3] Cassels, J.W.S., Rational quadratic forms, Academic Press, London New York San Francisco, 1978.Google Scholar
[4] Eichler, M. and Zagier, D., The theory of Jacobi forms: Progress in Math., vol. 55, Birkhäuser, Boston, 1985.CrossRefGoogle Scholar
[5] Ikeda, T., On the lifting of elliptic modular forms to Siegel cusp forms of degree 2n, Ann. Math., 154, no. 3 (2001), 641–681.CrossRefGoogle Scholar
[6] Katsurada, H., An explicit form for Siegel series, Amer. J. Math., 121 (1999), 415–452.CrossRefGoogle Scholar
[7] Kitaoka, Y., Dirichlet series in the theory of Siegel modular forms, Nagoya Math. J., 95 (1984), 73–84.CrossRefGoogle Scholar
[8] Kitaoka, Y., Arithmetic of quadratic forms: Cambridge Texts in Math., vol 106, Cambridge Univ. Press, Cambridge, 1999.Google Scholar
[9] Kohnen, W., Modular forms of half-integral weight on Γ0(4), Math. Ann., 248 (1980), 249–266.CrossRefGoogle Scholar
[10] Kohnen, W., Lifting modular forms of half-integral weight to Siegel modular forms of even genus, Math. Ann., 322 (2002), 787–809.CrossRefGoogle Scholar
[11] O’Meara, O.T., Introduction to quadratic forms: Grundl. d. Math. Wiss., vol. 117, Springer, Berlin Heidelberg New York, 1963.Google Scholar
[12] Shimura, G., On modular forms of half-integral weight, Ann. of Math., 97 (1973), 440–481.Google Scholar