Factoring Hecke Polynomials modulo A
نویسندگان
چکیده
Let T N,χ p,k (x) be the characteristic polynomial of the Hecke operator T p acting on the space of cusp forms S k (N, χ). We describe the factorization of T N,χ p,k (x) mod as k varies, and we explicitly calculate those factorizations for N = 1 and small. These factorizations are used to deduce the irreducibility of certain T 1,1 q,k (x) from the irreducibility of T 1,1 2,k (x).
منابع مشابه
Factoring Hecke Polynomials modulo a Prime
Let T N; p;k (x) be the characteristic polynomial of the Hecke operator Tp acting on the space of cusp forms Sk(N; ). We describe the factorization of T N; p;k (x) mod ` as k varies, and we explicitly calculate those factorizations for N = 1 and small `. These factorizations are used to deduce the irreducibility of certain T 1;1 q;k (x) from the irreducibility of T 1;1 2;k (x).
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