Add to ORKGIn this paper, by assuming the generalized Lindel\"of hypothesis, we study the Rankin-Selberg problem in families of holomorphic modular forms. By using the Lindel\"of-on-average bound, we also study the Rankin-Selberg problem in families of $SL(2,\mathbb{Z})$ Hecke-Maass cusp forms.Comment: 19 page
The classical Linnik-Sprindzuk phenomenon shows that the Riemann Hypothesis for Dirichlet L-function...
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...
AbstractLet g be a fixed normalized Hecke–Maass cusp form for SL(2,Z) associated to the Laplace eige...
AbstractLet λ(n) be the nth normalized Fourier coefficient of a holomorphic Hecke eigencuspform f(z)...
International audienceIn this paper, we investigate the $\ell$th power sum of Hecke eigenvalues of c...
Let f, g be primitive cusp forms, holomorphic or otherwise, on the upper half-plane H of levels N,M ...
We show that a certain spectral sum of the product of two triple product integrals of automorphic fo...
We sharpen some estimates of Rankin on power sums of Hecke eigenvalues, by using Kim & Shahidi's rec...
AbstractLet p≡3(mod4) be a prime, and k=(p+1)/2. In this paper we prove that two things happen if an...
AbstractLet a(n) be the normalized Fourier coefficient of a holomorphic cusp form of weight k or a M...
AbstractLet f be a self-dual Hecke–Maass cusp form for GL(3). We show that f is uniquely determined ...
The purpose of this paper is to obtain asymptotics of shifted sums of Hecke eigenvalue squares on av...
We study the second moment of the L-function associated to a holomorphic primitive cusp form of even...
Let $\pi$ be a $SL(3,\mathbb{Z})$ Hecke-Maass cusp form, $f$ be a $SL(2,\mathbb{Z})$ holomorphic cus...
The classical Linnik-Sprindzuk phenomenon shows that the Riemann Hypothesis for Dirichlet L-function...
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...
AbstractLet g be a fixed normalized Hecke–Maass cusp form for SL(2,Z) associated to the Laplace eige...
AbstractLet λ(n) be the nth normalized Fourier coefficient of a holomorphic Hecke eigencuspform f(z)...
International audienceIn this paper, we investigate the $\ell$th power sum of Hecke eigenvalues of c...
Let f, g be primitive cusp forms, holomorphic or otherwise, on the upper half-plane H of levels N,M ...
We show that a certain spectral sum of the product of two triple product integrals of automorphic fo...
We sharpen some estimates of Rankin on power sums of Hecke eigenvalues, by using Kim & Shahidi's rec...
AbstractLet p≡3(mod4) be a prime, and k=(p+1)/2. In this paper we prove that two things happen if an...
AbstractLet a(n) be the normalized Fourier coefficient of a holomorphic cusp form of weight k or a M...
AbstractLet f be a self-dual Hecke–Maass cusp form for GL(3). We show that f is uniquely determined ...
The purpose of this paper is to obtain asymptotics of shifted sums of Hecke eigenvalue squares on av...
We study the second moment of the L-function associated to a holomorphic primitive cusp form of even...
Let $\pi$ be a $SL(3,\mathbb{Z})$ Hecke-Maass cusp form, $f$ be a $SL(2,\mathbb{Z})$ holomorphic cus...
The classical Linnik-Sprindzuk phenomenon shows that the Riemann Hypothesis for Dirichlet L-function...
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...