Jishu Das

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math.NT2024

A lower bound for classical Kloosterman sums and an application

Stephan Baier, Jishu Das, Jewel Mahajan

We present a lower bound for the classical Kloosterman sum $S (a, b; c)$ where $(ab, c) = 1$ and $c$ is an odd integer. We apply this lower bound for Kloosterman sums to derive an explic…

math.NT2023

A lower bound for the discrepancy in a Sato-Tate type measure

Jishu Das

Let $S_{k} (N)$ denote the space of cusp forms of even integer weight $k$ and level $N$ . We prove an asymptotic for the Petersson trace formula for $S_{k} (N)$ under an appropriate condi…