Add to ORKGFor r ∈ Z>0 and k ∈ 2Z>0 with k> r let f be a holomorphic Siegel cusp form of weight k for Sp2r(Z). Suppose that f is a Hecke eigenform, i.e. a nonzero common eigenfunction of the Hecke algebra. Let Q(f) be the number field generated over Q by the eigenvalues of the Hecke operators over Q on f
”Siegel modular forms”, as they are called today, were first introduced by Siegel in a paper of 1935...
In Guerzhoy (2008) [6]. Guerzhoy defined certain quotient space dual to the space of cusp forms of g...
Abstract. A Frobenius operator ‖Π(m) maps a Siegel modular form with Fourier coefficients f (A), whe...
Using the explicit action of the Hecke operators T (p) acting on the Fourier coefficients of Siegel ...
Using the explicit action of the Hecke operators T (p) acting on the Fourier coefficients of Siegel ...
The standard approach to evaluate Hecke eigenvalues of a Siegel modular eigenform F is to determine ...
We carry out some computations of vector-valued Siegel modular forms of degree two, weight (k, 2) an...
In this paper, we consider the relation between the special values of the standard zeta functions an...
In this paper, we consider the relation between the special values of the standard zeta functions an...
We prove the following theorem. Theorem 1.1. Fix an integer g ≥ 1, a prime p, and an integer N ≥ 3 n...
AbstractWe use the action of the Hecke operators T˜j(p2) (1≤j≤n) on the Fourier coefficients of Sieg...
AbstractLet f(z) and g(z) be Hecke eigenforms for Γ0(p), where p is a prime. If both f(z) and g(z) a...
In our earlier paper [7], we presented an algorithm for comput-ing explicitly the coset representati...
AbstractIn his letter (Israel J. Math. 95 (1996) 281), Serre proves that the systems of Hecke eigenv...
Let N be a positive integer (the “level”), let k ≥ 2 be an integer (the “weight”), and let Sk(N,C) d...
”Siegel modular forms”, as they are called today, were first introduced by Siegel in a paper of 1935...
In Guerzhoy (2008) [6]. Guerzhoy defined certain quotient space dual to the space of cusp forms of g...
Abstract. A Frobenius operator ‖Π(m) maps a Siegel modular form with Fourier coefficients f (A), whe...
Using the explicit action of the Hecke operators T (p) acting on the Fourier coefficients of Siegel ...
Using the explicit action of the Hecke operators T (p) acting on the Fourier coefficients of Siegel ...
The standard approach to evaluate Hecke eigenvalues of a Siegel modular eigenform F is to determine ...
We carry out some computations of vector-valued Siegel modular forms of degree two, weight (k, 2) an...
In this paper, we consider the relation between the special values of the standard zeta functions an...
In this paper, we consider the relation between the special values of the standard zeta functions an...
We prove the following theorem. Theorem 1.1. Fix an integer g ≥ 1, a prime p, and an integer N ≥ 3 n...
AbstractWe use the action of the Hecke operators T˜j(p2) (1≤j≤n) on the Fourier coefficients of Sieg...
AbstractLet f(z) and g(z) be Hecke eigenforms for Γ0(p), where p is a prime. If both f(z) and g(z) a...
In our earlier paper [7], we presented an algorithm for comput-ing explicitly the coset representati...
AbstractIn his letter (Israel J. Math. 95 (1996) 281), Serre proves that the systems of Hecke eigenv...
Let N be a positive integer (the “level”), let k ≥ 2 be an integer (the “weight”), and let Sk(N,C) d...
”Siegel modular forms”, as they are called today, were first introduced by Siegel in a paper of 1935...
In Guerzhoy (2008) [6]. Guerzhoy defined certain quotient space dual to the space of cusp forms of g...
Abstract. A Frobenius operator ‖Π(m) maps a Siegel modular form with Fourier coefficients f (A), whe...