Computing level one Hecke eigensystems (mod )
نویسندگان
چکیده
منابع مشابه
ALL SIEGEL HECKE EIGENSYSTEMS ( MOD p ) ARE CUSPIDAL
Fix integers g ≥ 1 and N ≥ 3, and a prime p not dividing N . We show that the systems of Hecke eigenvalues occurring in the spaces of Siegel modular forms (mod p) of dimension g, level N , and varying weight, are the same as the systems occurring in the spaces of Siegel cusp forms with the same parameters and varying weight. In particular, in the case g = 1, this says that the Hecke eigensystem...
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— We describe how to compute with algebraic Hecke Grössencharacters. We first describe Dirichlet characters on number field elements, and finite order Hecke characters on ideals, before passing to the general case. Our primary interest is not directly in the characters themselves, but rather in their L-functions, and particularly the special values of these. We avoid the adelic language, since ...
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ژورنال
عنوان ژورنال: LMS Journal of Computation and Mathematics
سال: 2013
ISSN: 1461-1570
DOI: 10.1112/s1461157013000132