Tanmay Khale

activity

20202025

collaborators

3 papers

math.NT2025

Prime-free discs in imaginary quadratic fields

Tanmay Khale

Suppose $K$ is an imaginary quadratic field, and let $N_{K}$ denote the field norm in the ring of integers $O_{K}$ . Let $B (x_{0}, r) = {x \in O_{K} : ∣ N_{K} (x - x_{0}) ∣ < r}$ . Let $G_K(X) = \max…

math.NT2022

An explicit Vinogradov-Korobov zero-free region for Dirichlet L-functions

Tanmay Khale

We establish the first explicit form of the Vinogradov--Korobov zero-free region for Dirichlet $L$ -functions.

math.NT2020

Explicit Burgess Bound for Composite Moduli

Niraek Jain-Sharma, Tanmay Khale, Mengzhen Liu

We prove an explicit version of Burgess' bound on character sums for composite moduli.