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Upper bound for the moment of shifted values of cubic -functions over function fields
Pranendu Darbar, Sampa Dey, Gopal Maiti
In this paper, we study correlations of shifted values of cubic -functions over function fields and derive an upper bound for moments of these shifted values in the limit where…
Large values of quadratic Dirichlet -functions
Pranendu Darbar, Gopal Maiti
Assuming the Generalized Riemann Hypothesis (GRH), we utilize the long resonator method to derive -results for the family of quadratic Dirichlet -functions , where…
Large values of quadratic Dirichlet -functions over monic irreducible polynomial in
Pranendu Darbar, Gopal Maiti
We prove an -result for the quadratic Dirichlet -function over irreducible polynomials associated with the hyperelliptic curve of genus over a fixed f…
Convolution of periodic multiplicative functions and the divisor problem
Marco Aymone, Gopal Maiti, Olivier Ramaré +1
We study a certain class of arithmetic functions that appeared in Klurman's classification of multiplicative functions with bounded partial sums, c.f., Comp. Math. 153 (8),…
Correlation of shifted values of -functions in the hyperelliptic ensemble
Pranendu Darbar, Gopal Maiti
The moments of quadratic Dirichlet -functions over function fields have recently attracted much attention with the work of Andrade and Keating. In this article, we establish low…
Simultaneous non-vanishing of central values of and -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…
Subconvexity bound for L-functions: \lowercase{t}-aspect
Ratnadeep Acharya, Sumit Kumar, Gopal Maiti +1
Let be a holomorphic Hecke eigenform or a Hecke-Maass cusp form for the full modular group . In this paper we shall use circle method to prove the Weyl exp…