Computing the Satake p-parameters of Siegel modular forms
| dc.creator | Ryan, Nathan C. | |
| dc.date | 2004-11-17 | |
| dc.date.accessioned | 2026-07-07T05:14:26Z | |
| dc.date.available | 2026-07-07T05:14:26Z | |
| dc.description | Hecke eigenvalues of classical modular forms often encode a wealth of arithmetic data. The Satake $p$-parameters of a Siegel modular form play a role analogous to the one played by Hecke eigenvalues in the characterization of classical modular forms. In this paper we present an algorithm by which we can compute the Satake $p$-parameters of a Siegel modular form $F$ if we are given the Hecke eigenvalues of $F$ with respect to the generators of the local Hecke algebra. We compute explicit examples and relate our computations to the Ramanujan-Petersson Conjecture. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411393 | |
| dc.identifier | http://arxiv.org/abs/math/0411393 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73274 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11F46; 11F60; 65D20 | |
| dc.title | Computing the Satake p-parameters of Siegel modular forms | |
| dc.type | text |