Hecke operators on Hilbert-Siegel theta series

Fretwell, Dan and Walling, Lynne (2021) Hecke operators on Hilbert-Siegel theta series. International Journal of Number Theory, 17 (9). pp. 1965-1996.

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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.

Item Type:
Journal Article
Journal or Publication Title:
International Journal of Number Theory
Subjects:
?? THETA SERIESQUADRATIC FORMSTOTALLY REAL FIELDS ??
ID Code:
196905
Deposited By:
Deposited On:
17 Jul 2023 15:20
Refereed?:
Yes
Published?:
Published
Last Modified:
18 Oct 2023 16:55