English

Cyclotomic matrices and hypergeometric functions over finite fields

Number Theory 2025-03-04 v2

Abstract

With the help of hypergeometric functions over finite fields, we study some arithmetic properties of cyclotomic matrices involving characters and binary quadratic forms over finite fields. Also, we confirm some related conjectures posed by Zhi-Wei Sun.

Keywords

Cite

@article{arxiv.2111.01661,
  title  = {Cyclotomic matrices and hypergeometric functions over finite fields},
  author = {Hai-Liang Wu and Yue-Feng She and Li-Yuan Wang},
  journal= {arXiv preprint arXiv:2111.01661},
  year   = {2025}
}
R2 v1 2026-06-24T07:22:48.534Z