Note on $mod p$ Siegel modular forms
β Scribed by Shoyu Nagaoka
- Publisher
- Springer-Verlag
- Year
- 2000
- Tongue
- French
- Weight
- 172 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
In his letter (Israel J. Math. 95 (1996) 281), Serre proves that the systems of Hecke eigenvalues given by modular forms Γ°mod pΓ are the same as the ones given by locally constant functions A Γ B =B Γ -F p ; where B is the endomorphism algebra of a supersingular elliptic curve. We generalize this re
## Abstract In this article we study a RankinβSelberg convolution of __n__ complex variables for pairs of degree __n__ Siegel cusp forms. We establish its analytic continuation to β^__n__^, determine its functional equations and find its singular curves. Also, we introduce and get similar results f
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 Δ± W Δ±