Author

Kamalakshya Mahatab

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Preprint Sep 2026

Sharp lower bounds for shifted moments of Dedekind zeta functions

Let $K_1,\cdots,K_r$ be fixed number fields, and let $L$ be the compositum of their Galois closures. Assuming GRH for $\zeta_L$, we prove a sharp lower bound for products of shifted Dedekind zeta functions on the critical line, for arbitrary fixed positive real exponents and uniformly for shifts of size at most $T/2$....

Benjamin Durkan, Nilmoni Karak, Kamalakshya Mahatab · 1 citation

Preprint Sep 2026

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

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 $G\wr S_N$. We prove \begin{equation*} Z_t(N)\ge \frac{2p_t(N)^{2}}{\log \frac{N}{t}}\left(1+O\left(\frac{\log \log \frac{N}{t}}{\log \frac{N}{t}}\...

Jayanta Barman, Kamalakshya Mahatab · 0 citations