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.
Original language | English |
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Pages (from-to) | 1965-1996 |
Number of pages | 32 |
Journal | International Journal of Number Theory |
Volume | 17 |
Issue number | 9 |
DOIs | |
Publication status | Published - 1 Oct 2021 |
Externally published | Yes |
Keywords
- quadratic forms
- Theta series
- totally real fields