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

collaborators

Showing 2025Show all

4 papers · 1 filter

math.NT2025

Generalised Fermat equations in dense variables over finite fields and rings

Sam Chow, Zi Li Lim, Akshat Mudgal

Let $A$ be a sufficiently dense subset of a finite field $F_{q}$ or a finite, cyclic ring $Z / N Z$ . Assuming that $q$ and $N$ have no small prime divisors, we…

math.CO2025

On exponential Freiman dimension

Jeck Lim, Akshat Mudgal, Cosmin Pohoata +1

The exponential Freiman dimension of a finite set $A \subset R^{m}$ , introduced by Green and Tao in 2006, represents the largest positive integer $d$ for which $A$ contain…

math.NT2025

Counting $2 \times 2$ integer matrices with a given determinant

Jonathan Chapman, Akshat Mudgal

Given positive integers $h, N$ satisfying $1 ⩽ h ⩽ 2 N^{2}$ , we define $T (h, N)$ to be the number of $2 \times 2$ integer matrices with determinant equal to $h$ whose en…

math.NT2025

On commuting integer matrices

Jonathan Chapman, Akshat Mudgal

Given $d, N \in N$ , we define $C_{d} (N)$ to be the number of pairs of $d \times d$ matrices $A, B$ with entries in $[- N, N] \cap Z$ such that $A B = B A$ . We…

Generalised Fermat equations in dense variables over finite fields and rings

On exponential Freiman dimension

Counting 2×2 integer matrices with a given determinant

On commuting integer matrices

Counting $2 \times 2$ integer matrices with a given determinant