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Restriction of Siegel modular forms to modular curves

Published online by Cambridge University Press:  17 April 2009

Cris Poor  and
David S. Yuen
Cris Poor
Affiliation:
Department of Mathematics, Fordham University, Bronx, NY 10458, e-mail: [email protected]
David S. Yuen
Affiliation:
Math/CS Department, Lake Forest College, 555 N. Sheridan Rd., Lake Forest, IL 60045, e-mail: [email protected]
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Abstract

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We study homomorphisms form the ring of Siegel modular forms of a given degree to the ring of elliptic modular forms for a congruence subgroup. These homomorphisms essentially arise from the restriction of Siegel modular forms to modular curves. These homomorphisms give rise to linear relations among the Fourier coefficients of a Siegel modular form. We use this technique to prove that dim .

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 2 , April 2002 , pp. 239 - 252
Copyright
Copyright © Australian Mathematical Society 2002

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