Hecke Eigensystems for (mod p) Modular Forms of PEL Type and Algebraic Modular Forms

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منابع مشابه

Hecke eigenvalues of Siegel modular forms (mod p) and of algebraic modular forms

In his letter (Serre, 1996), J.-P. Serre proves that the systems of Hecke eigenvalues given by modular forms (mod p) are the same as the ones given by locally constant functions A×B/B × → Fp, where B is the endomorphism algebra of a supersingular elliptic curve. We generalize this result to Siegel modular forms, proving that the systems of Hecke eigenvalues given by Siegel modular forms (mod p)...

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ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2012

ISSN: 1073-7928,1687-0247

DOI: 10.1093/imrn/rns114