Action of Hecke operators on Siegel theta series II

Details Action of Hecke operators on Siegel theta series II Action of Hecke operators on Siegel theta series II

2007-10-23

arxiv.org/abs/0710.4222v1

Mathematics

Number Theory

Scientific paper

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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