Akshat Mudgal

collaborators

2 papers

math.NT2023

A Quadratic Vinogradov Mean Value Theorem in Finite Fields

Samuel Mansfield, Akshat Mudgal

Let $p$ be a prime, let $s \geq 3$ be a natural number and let $A \subseteq F_{p}$ be a non-empty set satisfying $∣ A ∣ ≪ p^{1/2}$ . Denoting $J_{s} (A)$ to be the number of sol…

math.CO2023

An Elekes-Rónyai theorem for sets with few products

Akshat Mudgal

Given $d, n \in N$ , we write a polynomial $F \in C [x_{1}, \dots, x_{n}]$ to be degenerate if there exist $P \in C [y_{1}, \dots, y_{n - 1}]$ and $m_j = x_1^{v_{j,1}}\…