Kamalakshya Mahatab

activity

20142026

most citedChinese Remainder Theorem for Cyclotomic Polynomials in

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4 citations · 6 across the 14 of their papers we have counts for

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6 papers · 1 filter

math.NT2026

Omega bounds for the Piltz divisor problem

Nilmoni Karak, Kamalakshya Mahatab

We improve our earlier omega bounds for the error term in the Piltz divisor problem over number fields. Our proof uses a weighted extension of a counting theorem of Balasubramanian…

math.CO2026

Zeros in The Character Table of The Wreath Product of The Symmetric Group

Jayanta Barman, Kamalakshya Mahatab

Let $G$ be a finite group with $t$ conjugacy classes, and let $S_{N}$ be the symmetric group. Let $Z_{t} (N)$ be the number of zeros in the character table of the wreath product $G\wr S…

math.NT2026

Sharp lower bounds for shifted moments of Dedekind zeta functions

Benjamin Durkan, Nilmoni Karak, Kamalakshya Mahatab

Let $K_{1}, \dots, K_{r}$ be fixed number fields, and let $L$ be the compositum of their Galois closures. Assuming GRH for $ζ_{L}$ , we prove a sharp lower bound for products of shifted De…

math.NT2026

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…

math.NT2026

Asymptotic Formula for Multipartitions

Jayanta Barman, Kamalakshya Mahatab

Let $p_{t} (N)$ denote the number of $t$ -multipartitions of a positive integer $N$ . In this article, we obtain an asymptotic formula for $p_{t} (N)$ , when $t ≪ N^{1 - ε}$ , for any $ε>…

math.NT2026

Asymptotic Formula for $(t + 1)$ -Regular Partitions

Jayanta Barman, Kamalakshya Mahatab

A partition is $t$ -regular if none of its parts is divisible by $t$ . Let $p (N, t)$ be the number of $(t + 1)$ -regular partitions of a positive integer $N$ . In 1971, Hagis proved an as…

Omega bounds for the Piltz divisor problem

Zeros in The Character Table of The Wreath Product of The Symmetric Group

Sharp lower bounds for shifted moments of Dedekind zeta functions

Sharp Upper Bounds for Moments of Dedekind Zeta Functions

Asymptotic Formula for Multipartitions

Asymptotic Formula for (t+1)-Regular Partitions

Asymptotic Formula for $(t + 1)$ -Regular Partitions