Congruences for Modular Forms mod 2 and QuaternionicS-ideal Classes
نویسندگان
چکیده
منابع مشابه
Congruences between Modular Forms and Lowering the Level Mod ℓ
In this article we study the behavior of inertia groups for modular Galois mod ln representations and in some cases we give a generalization of Ribet’s lowering the level result (cf. [Rib90]).
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It is well-known that two modular forms on the same congruence subgroup and of the same weight, with coefficients in the integer ring of a number field, are congruent modulo a prime ideal in this integer ring, if the first B coefficients of the forms are congruent modulo this prime ideal, where B is an effective bound depending only on the congruence subgroup and the weight of the forms. In thi...
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In his letter [Ser96], 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 × → F̄p, where B is the endomorphism algebra of a supersingular elliptic curve. After giving a detailed exposition of Serre’s result, we prove that the systems of Hecke eigenvalues given by Siegel modular forms (mod p) o...
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2018
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-2017-019-1