Abstract
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.
| Translated title of the contribution | Action of Hecke operators on Siegel theta series II |
|---|---|
| Original language | English |
| Pages (from-to) | 981-1008 |
| Number of pages | 28 |
| Journal | International Journal of Number Theory |
| Volume | 4 |
| Issue number | 6 |
| Publication status | Accepted/In press - 2007 |
Bibliographical note
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