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Hecke eigenvalues of Siegel modular forms of “different weights”

✍ Scribed by Ghitza, Alexandru; Sayer, Robert


Book ID
122173670
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
269 KB
Volume
143
Category
Article
ISSN
0022-314X

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📜 SIMILAR VOLUMES


Hecke eigenvalues of Siegel modular form
✍ Alexandru Ghitza 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 549 KB

In his letter (Israel J. Math. 95 (1996) 281), Serre proves that the systems of Hecke eigenvalues given by modular forms ðmod pÞ are the same as the ones given by locally constant functions A Â B =B Â -F p ; where B is the endomorphism algebra of a supersingular elliptic curve. We generalize this re

Explicit Action of Hecke Operators on Si
✍ James Lee Hafner; Lynne H Walling 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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 ı W ı