Akshat Mudgal

activity

20192026

most citedEnergy estimates in sum-product and convexity problems

5 citations · 9 across the 22 of their papers we have counts for

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4 papers · 1 filter

math.NT2026

On an asymmetric additive energy inequality

Akshat Mudgal

Let $d \geq 1$ be an integer, $G$ be an abelian group and $ν, w_{1}, \dots, w_{2 d} : G \to [0, \infty)$ be functions with finite, non-empty supports. Define the generalised additive e…

math.NT2026

Counting solutions to the quadratic determinant equation

Jonathan Chapman, Akshat Mudgal

Given $h, N \in N$ satisfying $1 ⩽ h ⩽ N^{2}$ , we prove an asymptotic formula for the number of solutions to the equation $x_{1} x_{2} - x_{3} x_{4} = h$ with $x_1,…

math.NT2026

A structure theorem for sets with doubling $4 + δ$

Yifan Jing, Akshat Mudgal

We prove a structural result for sets of integers with doubling at most $4 + δ$ , with $δ > 0$ sufficiently small. This generalises earlier work of Eberhard--Green--Manners which deal…

math.NT2026

Uniform sum-product phenomenon for algebraic groups and Bremner's conjecture

Joseph Harrison, Akshat Mudgal, Harry Schmidt

In this paper we combine methods from additive combinatorics and Diophantine geometry to study the generalised sum-product phenomenon in algebraic groups. As an application of this…

On an asymmetric additive energy inequality

Counting solutions to the quadratic determinant equation

A structure theorem for sets with doubling 4+δ

Uniform sum-product phenomenon for algebraic groups and Bremner's conjecture

A structure theorem for sets with doubling $4 + δ$