Sushant Kala

collaborators

5 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 $I^¸ \in F_{q^{m}}$ be such that $\mathbb F_{q^m} = \mathbb F(Î¸)…

math.NT2026

Lower bound for the canonical on Abelian varieties over totally $p$ -adic extensions

Sushant Kala

Let $A$ be an abelian variety defined over a number field $Q$ , and let $h^$ be the NÃ©ron-Tate height on $A (Q)$ corresponding to a symmetric ample…

math.NT2025

On points of small height in infinite extensions

Anup B. Dixit, Sushant Kala

In this paper, we introduce the notion of asymptotically positive infinite extensions of $Q$ , in the spirit of the Tsfasman-VlÄduÅ£ theory of asymptotically exact familie…

math.NT2025

A p-adic criterion for Lehmer's conjecture

Anup B. Dixit, Sushant Kala

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

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…

An estimate for incomplete mixed character sums and applications

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

On points of small height in infinite extensions

A p-adic criterion for Lehmer's conjecture

On the distribution of shapes of pure quartic number fields

Lower bound for the canonical on Abelian varieties over totally $p$ -adic extensions