Gopal Maiti

collaborators

3 papers

math.NT2021

Correlation of shifted values of $L$ -functions in the hyperelliptic ensemble

Pranendu Darbar, Gopal Maiti

The moments of quadratic Dirichlet $L$ -functions over function fields have recently attracted much attention with the work of Andrade and Keating. In this article, we establish low…

math.NT2021

Simultaneous non-vanishing of central values of $G L (2) \times G L (3)$ and $G L (3)$ $L$ -functions

Gopal Maiti, Kummari Mallesham

We study simultaneous non-vanishing of $L(\tfrac{1}{2},\di)$ and $L(\tfrac{1}{2},g\otimes \di)$, when $\di$ runs over an orthogonal basis of the space of Hecke-Maass cusp forms for…

math.NT2018

Subconvexity bound for $G L (2)$ L-functions: \lowercase{t}-aspect

Ratnadeep Acharya, Sumit Kumar, Gopal Maiti +1

Let $f$ be a holomorphic Hecke eigenform or a Hecke-Maass cusp form for the full modular group $S L (2, Z)$ . In this paper we shall use circle method to prove the Weyl exp…

Correlation of shifted values of L-functions in the hyperelliptic ensemble

Simultaneous non-vanishing of central values of GL(2)×GL(3) and GL(3) L-functions

Subconvexity bound for GL(2) L-functions: \lowercase{t}-aspect

Correlation of shifted values of $L$ -functions in the hyperelliptic ensemble

Simultaneous non-vanishing of central values of $G L (2) \times G L (3)$ and $G L (3)$ $L$ -functions

Subconvexity bound for $G L (2)$ L-functions: \lowercase{t}-aspect