16 papers
Zeros in The Character Table of The Wreath Product of The Symmetric Group
Jayanta Barman, Kamalakshya Mahatab
Let be a finite group with conjugacy classes, and let be the symmetric group. Let be the number of zeros in the character table of the wreath product $G\wr S…
Sharp lower bounds for shifted moments of Dedekind zeta functions
Benjamin Durkan, Nilmoni Karak, Kamalakshya Mahatab
Let be fixed number fields, and let be the compositum of their Galois closures. Assuming GRH for , we prove a sharp lower bound for products of shifted De…
Sharp Upper Bounds for Moments of Dedekind Zeta Functions
Benjamin Durkan, Nilmoni Karak, Kamalakshya Mahatab
Assuming the Generalised Riemann Hypothesis, we establish conjecturally sharp upper bounds for shifted moments of products of Dedekind zeta functions of arbitrary number fields. Th…
Asymptotic Formula for Multipartitions
Jayanta Barman, Kamalakshya Mahatab
Let denote the number of -multipartitions of a positive integer . In this article, we obtain an asymptotic formula for , when , for any $ε>…
Asymptotic Formula for -Regular Partitions
Jayanta Barman, Kamalakshya Mahatab
A partition is -regular if none of its parts is divisible by . Let be the number of -regular partitions of a positive integer . In 1971, Hagis proved an as…
The Piltz divisor Problem in Number Fields Using The Resonance Method
Nilmoni Karak, Kamalakshya Mahatab
The Piltz divisor problem is a natural generalization of the classical Dirichlet divisor problem. In this paper, we study this problem over number fields and obtain improved bo…