English

Matrix Waring Problem -- II

Group Theory 2023-05-08 v2 Number Theory Rings and Algebras

Abstract

We prove that for all integers k1k \geq 1, there exists a constant CkC_k depending only on kk such that for all q>Ckq > C_k and for all n1n \geq 1 every matrix in Mn(Fq)M_n(\mathbb F_q) is a sum of two kkth powers.

Keywords

Cite

@article{arxiv.2205.04710,
  title  = {Matrix Waring Problem -- II},
  author = {Krishna Kishore and Anupam Singh},
  journal= {arXiv preprint arXiv:2205.04710},
  year   = {2023}
}
R2 v1 2026-06-24T11:12:44.647Z