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Congruences for eigenvalues of Hecke operators on Siegel modular forms of degree two

โœ Scribed by Shin-ichiro Mizumoto


Publisher
Springer
Year
1986
Tongue
English
Weight
548 KB
Volume
275
Category
Article
ISSN
0025-5831

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๐Ÿ“œ SIMILAR VOLUMES


Explicit Action of Hecke Operators on Si
โœ James Lee Hafner; Lynne H Walling ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 182 KB

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

Hecke eigenvalues of Siegel modular form
โœ Alexandru Ghitza ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 549 KB

In his letter (Israel J. Math. 95 (1996) 281), Serre proves that the systems of Hecke eigenvalues given by modular forms รฐmod pรž 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