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Linear dependence among Siegel modular forms

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Abstract.

Theorems are given which describe when high enough vanishing at the cusps implies that a Siegel modular cusp form is zero. Formerly impractical computations become practical and examples are given in degree four. Vanishing order is described by kernels, a type of polyhedral convex hull.

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Authors and Affiliations

  1. Department of Mathematics, Fordham University, Bronx, NY 10458, USA (e-mail: poor@fordham.edu), , , , , , US

    Cris Poor

  2. Math/CS Department, Lake Forest College, 555 N. Sheridan Rd., Lake Forest, IL 60045, USA (e-mail: yuen@lfc.edu), , , , , , US

    David S. Yuen

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  1. Cris Poor
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  2. David S. Yuen
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Received: November 19, 1998 / Revised: July 5, 1999 / Published online: September 5, 2000

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Poor, C., Yuen, D. Linear dependence among Siegel modular forms. Math Ann 318, 205–234 (2000). https://doi.org/10.1007/s002080000083

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  • DOI: https://doi.org/10.1007/s002080000083

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