Add to ORKGBy assuming the Ramanujan conjecture, we approximate L-functions associated to $SL(3,\mathbb{Z})$ Hecke-Maass cusp forms (on average) by short Dirichlet polynomials. For the proof, we apply a variant of the Kuznetsov trace formula. As an application, we get some zero density estimates of $SL(3,\mathbb{Z})$ Hecke-Maass cusp forms.Comment: Some mistakes are fixed. Main results are unchange
The focus of the first part of the thesis commences with an examination of two pages in Ramanujan's...
Abstract: In the 1960\u27s, Burgess proved a subconvexity bound for Dirichlet L-functions. However, ...
Fix $n \geq 2$ an integer, and let $F$ be a totally real number field. We derive estimates for the f...
We study sums of Hecke eigenvalues of Hecke-Maass cusp forms for the group SL(n, Z), with general n ...
We study the second moment of the L-function associated to a holomorphic primitive cusp form of even...
The large sieve method has been used extensively, beginning with Bombieri in 1965, to provide bounds...
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...
In this article, we study the distribution of values of Dirichlet $L$-functions, the distribution of...
We compute an asymptotic formula for the twisted moment of GL(3)xGL(2) L-functions and their derivat...
In this paper, by assuming the generalized Lindel\"of hypothesis, we study the Rankin-Selberg proble...
AbstractWe obtain an asymptotic formula for the first moment of quadratic Dirichlet L-functions over...
Gábor Halász and Pál Turán were the first who proved unconditionally the Density Hypothesis for Riem...
We estimate the 1-level density of low-lying zeros of L(s,χ) with χ ranging over primitive Dirichlet...
AbstractFormulae of Voronoi-Atkinson type are proved for Dirichlet polynomials related to the Dirich...
The focus of the first part of the thesis commences with an examination of two pages in Ramanujan's...
Abstract: In the 1960\u27s, Burgess proved a subconvexity bound for Dirichlet L-functions. However, ...
Fix $n \geq 2$ an integer, and let $F$ be a totally real number field. We derive estimates for the f...
We study sums of Hecke eigenvalues of Hecke-Maass cusp forms for the group SL(n, Z), with general n ...
We study the second moment of the L-function associated to a holomorphic primitive cusp form of even...
The large sieve method has been used extensively, beginning with Bombieri in 1965, to provide bounds...
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...
In this article, we study the distribution of values of Dirichlet $L$-functions, the distribution of...
We compute an asymptotic formula for the twisted moment of GL(3)xGL(2) L-functions and their derivat...
In this paper, by assuming the generalized Lindel\"of hypothesis, we study the Rankin-Selberg proble...
AbstractWe obtain an asymptotic formula for the first moment of quadratic Dirichlet L-functions over...
Gábor Halász and Pál Turán were the first who proved unconditionally the Density Hypothesis for Riem...
We estimate the 1-level density of low-lying zeros of L(s,χ) with χ ranging over primitive Dirichlet...
AbstractFormulae of Voronoi-Atkinson type are proved for Dirichlet polynomials related to the Dirich...
The focus of the first part of the thesis commences with an examination of two pages in Ramanujan's...
Abstract: In the 1960\u27s, Burgess proved a subconvexity bound for Dirichlet L-functions. However, ...
Fix $n \geq 2$ an integer, and let $F$ be a totally real number field. We derive estimates for the f...