中文

Frobenius矩阵与Zolotarev定理的一个变体

数论 2021-01-28 v2

摘要

本文借助矩阵理论与有限域,将Zolotarev定理推广到 Fq\mathbb{F}_q 上的任意有限维向量空间,其中 Fq\mathbb{F}_q 表示含 qq 个元素的有限域。

关键词

引用

@article{arxiv.2101.05558,
  title  = {Frobenius matrices and a variant of Zolotarev's theorem},
  author = {Hai-Liang Wu and Li-Yuan Wang},
  journal= {arXiv preprint arXiv:2101.05558},
  year   = {2021}
}

备注

Our result is not new, which was obtained by Prof. P.L. Clark and Prof. A. Brunyate in the paper Extending the Zolotarev-Frobenius approach to quadratic reciprocity (pubished in the Ramanujan journal)