4 papers
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…
Selberg's Central limit theorem for quadratic Dirichlet L-functions over function fields
Pranendu Darbar, Allysa Lumley
In this article, we study the logarithm of the central value in the symplectic family of Dirichlet -functions associated with the hyperelliptic…
Mean values and moments of arithmetic functions over number fields
Jaitra Chattopadhyay, Pranendu Darbar
For an odd integer and a finite Galois extension of degree , G. Lü and Z. Yang \cite{lu3} obtained an asymptotic formula for the mean values of the diviso…
Bombieri-type theorem for convolution of arithmetic functions on Number field
Pranendu Darbar, Anirban Mukhopadhyay
Let be an imaginary quadratic number field of class number one and be its ring of integers. We show that, if the arithmetic functions $f, g:\mathcal{O}_K\righta…