3 papers
math.NT2026
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…
math.NT2024
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),…
math.NT2024
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 , wh…