AbstractLet g be a fixed normalized Hecke–Maass cusp form for SL(2,Z) associated to the Laplace eigenvalue 14+ν2. We show that g is uniquely determined by the central values of the family {L(s,f⊗g):g∈Hk(1)} for k sufficiently large, where Hk(1) denotes a Hecke basis of the space of holomorphic cusp forms for SL(2,Z)
Let $\pi$ be a $SL(3,\mathbb{Z})$ Hecke-Maass cusp form, $f$ be a $SL(2,\mathbb{Z})$ holomorphic cus...
AbstractLet f be a self-dual Hecke–Maass cusp form for GL(3). We show that f is uniquely determined ...
AbstractLet g be a fixed normalized Hecke–Maass cusp form for SL(2,Z) associated to the Laplace eige...
In this paper, by assuming the generalized Lindel\"of hypothesis, we study the Rankin-Selberg proble...
AbstractLet λ(n) be the nth normalized Fourier coefficient of a holomorphic Hecke eigencuspform f(z)...
AbstractWe study the arithmeticity of special values of L-functions attached to cuspforms which are ...
AbstractEstimation of shifted sums of Fourier coefficients of cusp forms plays crucial roles in anal...
We study the second moment of the L-function associated to a holomorphic primitive cusp form of even...
By assuming the Ramanujan conjecture, we approximate L-functions associated to $SL(3,\mathbb{Z})$ He...
AbstractLet f1,…,fd be an orthogonal basis for the space of cusp forms of even weight 2k on Γ0(N). L...
AbstractGiven two Hecke cusp forms f1 and f2 of SL(2,Z). Suppose there is a quadratic character χ su...
AbstractWe study sums of the form ∑n⩽Na(n)e2πiαn, where α is any real number and the a(n) are the Fo...
We show that a certain spectral sum of the product of two triple product integrals of automorphic fo...
AbstractGiven a maximal even integral lattice L of signature (m+,2−) (m≥3), we consider an orthonorm...
AbstractLet p≡3(mod4) be a prime, and k=(p+1)/2. In this paper we prove that two things happen if an...
Let $\pi$ be a $SL(3,\mathbb{Z})$ Hecke-Maass cusp form, $f$ be a $SL(2,\mathbb{Z})$ holomorphic cus...
AbstractLet f be a self-dual Hecke–Maass cusp form for GL(3). We show that f is uniquely determined ...
AbstractLet g be a fixed normalized Hecke–Maass cusp form for SL(2,Z) associated to the Laplace eige...
In this paper, by assuming the generalized Lindel\"of hypothesis, we study the Rankin-Selberg proble...
AbstractLet λ(n) be the nth normalized Fourier coefficient of a holomorphic Hecke eigencuspform f(z)...
AbstractWe study the arithmeticity of special values of L-functions attached to cuspforms which are ...
AbstractEstimation of shifted sums of Fourier coefficients of cusp forms plays crucial roles in anal...
We study the second moment of the L-function associated to a holomorphic primitive cusp form of even...
By assuming the Ramanujan conjecture, we approximate L-functions associated to $SL(3,\mathbb{Z})$ He...
AbstractLet f1,…,fd be an orthogonal basis for the space of cusp forms of even weight 2k on Γ0(N). L...
AbstractGiven two Hecke cusp forms f1 and f2 of SL(2,Z). Suppose there is a quadratic character χ su...
AbstractWe study sums of the form ∑n⩽Na(n)e2πiαn, where α is any real number and the a(n) are the Fo...
We show that a certain spectral sum of the product of two triple product integrals of automorphic fo...
AbstractGiven a maximal even integral lattice L of signature (m+,2−) (m≥3), we consider an orthonorm...
AbstractLet p≡3(mod4) be a prime, and k=(p+1)/2. In this paper we prove that two things happen if an...
Let $\pi$ be a $SL(3,\mathbb{Z})$ Hecke-Maass cusp form, $f$ be a $SL(2,\mathbb{Z})$ holomorphic cus...
AbstractLet f be a self-dual Hecke–Maass cusp form for GL(3). We show that f is uniquely determined ...
AbstractLet g be a fixed normalized Hecke–Maass cusp form for SL(2,Z) associated to the Laplace eige...