English

Sum of two squares in cyclic quartic fields

Number Theory 2024-03-27 v6

Abstract

This paper gives an algorithm to determine whether a number in a cyclic quartic field is a sum of two squares, mainly based on local-global principle of isotropy of quadratic forms.

Keywords

Cite

@article{arxiv.2312.14366,
  title  = {Sum of two squares in cyclic quartic fields},
  author = {Wenhuan Huang},
  journal= {arXiv preprint arXiv:2312.14366},
  year   = {2024}
}

Comments

6 pages, welcome for comments. Updates in Mar 14: Some examples added

R2 v1 2026-06-28T13:59:24.405Z