Sushant Kala

activity

20232026

most citedLower bound on height of algebraic numbers and low lying zeros of the Dedekind zeta-function

1 citations · 1 across the 5 of their papers we have counts for

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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…

math.NT2024

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-Vlăduţ theory of asymptotically exact families…

math.NT2024

On the lowest zero of Dedekind zeta function

Sushant Kala

Let $ζ_{K} (s)$ denote the Dedekind zeta-function associated to a number field $K$ . In this paper, we give an effective upper bound for the height of first non-trivial zero other than…