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Hecke operators on Hilbert-Siegel theta series

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published
<mark>Journal publication date</mark>4/10/2021
<mark>Journal</mark>International Journal of Number Theory
Issue number9
Volume17
Number of pages32
Pages (from-to)1965-1996
Publication StatusPublished
Early online date20/04/21
<mark>Original language</mark>English

Abstract

We consider the action of Hecke-type operators on Hilbert-Siegel theta series attached to lattices of even rank. We show that the average Hilbert-Siegel theta series are eigenforms for these operators, and we explicitly compute the eigenvalues.