In this work, we establish a zero density result for the Rankin-Selberg $L$-functions. As an application, we apply it to distinguish the holomorphic Hecke eigenforms for $\operatorname{SL}_2(\mathbb{Z}).$Comment: 12 page
We establish zero-free regions tapering as an inverse power of the analytic conductor for Rankin-Sel...
vii, 78 leaves ; 29 cm.This thesis presents the following: (i) A detailed exposition of Rankin's cla...
Generalizing previous work of Iwaniec, Luo, and Sarnak (2000), we use information from one-level den...
In this report, we describe one explicit formula for the zeros of the Rankin-Selberg L-function by u...
We establish zero-free regions tapering as an inverse power of the analytic conductor for Rankin-Sel...
The main objects of study in this article are two classes of Rankin–Selberg L-functions, namely L(s,...
Let L(s,π×π ′ ) be the Rankin--Selberg L -function attached to automorphic representations π and π...
We prove explicit formulae for $\alpha$-points of $L$-functions from the Selberg class. Next we exte...
The large sieve method has been used extensively, beginning with Bombieri in 1965, to provide bounds...
We prove new congruences between special values of Rankin-Selberg $L$-functions for $\mathrm{GL}(n+1...
In this paper, we compute the one-level density of low-lying zeros of Dirichlet $L$-functions in a f...
Given a nontrivial finite group $G$, we prove the first zero density estimate for families of Dedeki...
This thesis is divided into two main parts. In Chapter 1, we consider the average of modular coeffic...
We estimate the 1-level density of low-lying zeros of L(s,χ) with χ ranging over primitive Dirichlet...
We prove a general subconvex bound in the level aspect for Rankin–Selberg L-functions associated wit...
We establish zero-free regions tapering as an inverse power of the analytic conductor for Rankin-Sel...
vii, 78 leaves ; 29 cm.This thesis presents the following: (i) A detailed exposition of Rankin's cla...
Generalizing previous work of Iwaniec, Luo, and Sarnak (2000), we use information from one-level den...
In this report, we describe one explicit formula for the zeros of the Rankin-Selberg L-function by u...
We establish zero-free regions tapering as an inverse power of the analytic conductor for Rankin-Sel...
The main objects of study in this article are two classes of Rankin–Selberg L-functions, namely L(s,...
Let L(s,π×π ′ ) be the Rankin--Selberg L -function attached to automorphic representations π and π...
We prove explicit formulae for $\alpha$-points of $L$-functions from the Selberg class. Next we exte...
The large sieve method has been used extensively, beginning with Bombieri in 1965, to provide bounds...
We prove new congruences between special values of Rankin-Selberg $L$-functions for $\mathrm{GL}(n+1...
In this paper, we compute the one-level density of low-lying zeros of Dirichlet $L$-functions in a f...
Given a nontrivial finite group $G$, we prove the first zero density estimate for families of Dedeki...
This thesis is divided into two main parts. In Chapter 1, we consider the average of modular coeffic...
We estimate the 1-level density of low-lying zeros of L(s,χ) with χ ranging over primitive Dirichlet...
We prove a general subconvex bound in the level aspect for Rankin–Selberg L-functions associated wit...
We establish zero-free regions tapering as an inverse power of the analytic conductor for Rankin-Sel...
vii, 78 leaves ; 29 cm.This thesis presents the following: (i) A detailed exposition of Rankin's cla...
Generalizing previous work of Iwaniec, Luo, and Sarnak (2000), we use information from one-level den...