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arXiv · 0710.4222

Action of Hecke operators on Siegel theta series II

Lynne H. Walling
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Abstract

Given a Siegel theta series and a prime p not dividing the level of the theta series, we apply to the theta series the n+1 Hecke operators that generate the local Hecke algebra at p. We show that the average theta series is an eigenform and we compute the eigenvalues.

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Lynne H. Walling. 2007-10-23. Action of Hecke operators on Siegel theta series II. https://arxiv.org/abs/0710.4222

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