Year: 2026
Type: preprint
Abstract: Let $n,k$ be positive integers and $q$ be a prime power. We prove that there exists a real constant $C_k$ depending only on $k$ such that if $ \# M_n(\mathbb{F}_q) > C_k$ then every element in $M_n(\mathbb{F}_q)$ is a sum of two $k$th powers, proving Larsen's conjecture.
Source: arXiv (Cornell University)
Authors: Kishore, Krishna, Mallick, Sunil Kumar
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221798226