Congruences for eigenvalues of Hecke operators on Siegel modular forms of degree two
โ Scribed by Shin-ichiro Mizumoto
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 548 KB
- Volume
- 275
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We develop an algorithm for determining an explicit set of coset representatives (indexed by lattices) for the action of the Hecke operators T(p), T j (p 2 ) on Siegel modular forms of fixed degree and weight. This algorithm associates each coset representative with a particular lattice W, pL ฤฑ W ฤฑ
In his letter (Israel J. Math. 95 (1996) 281), Serre proves that the systems of Hecke eigenvalues given by modular forms รฐmod pร are the same as the ones given by locally constant functions A ร B =B ร -F p ; where B is the endomorphism algebra of a supersingular elliptic curve. We generalize this re