Sushant Kala

collaborators

4 papers

math.NT2026

An estimate for incomplete mixed character sums and applications

Arpan Chandra Mazumder, Giorgos Kapetanakis, Sushant Kala +1

Let $q$ be a prime power and $m > 1$ be any integer. Let $F_{q^{m}}$ be the finite field of order $q^{m}$ and $θ \in F_{q^{m}}$ be such that $F_{q^{m}} = F (θ)$ .…

math.NT2025

Lower bound for the canonical height on abelian varieties over totally p-adic extensions

Sushant Kala

Let $A / Q$ be an abelian variety and let $h^$ be the canonical height on $A(\overline{\Q})$ associated to a symmetric ample line bundle $L$ on $A$ . We prove…

math.NT2025

A p-adic criterion for Lehmer's conjecture

Anup B. Dixit, Sushant Kala

For a non-zero algebraic number $α$ of degree $d$ , let $h (α)$ denote its logarithmic Weil height. It is known that when $h (α)$ is small, and $d$ is large, the conjugates of $α$ are…

math.NT2025

On the distribution of shapes of pure quartic number fields

Sudipa Das, Sushant Kala, Arunabha Mukhopadhyay +1

The shape of a number field is a subtle arithmetic invariant arising from the geometry of numbers. It is defined as the equivalence class of the lattice of integers with respect to…