2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140593Given 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.Number Theory11F41text