Action of Hecke operators on Siegel theta series II

2007/10/23 by Walling, Lynne H.
#11F41 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0710.4222

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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