English

Sum of two squares in biquadratic fields

Number Theory 2024-03-27 v4

Abstract

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

Keywords

Cite

@article{arxiv.2401.12619,
  title  = {Sum of two squares in biquadratic fields},
  author = {Wenhuan Huang},
  journal= {arXiv preprint arXiv:2401.12619},
  year   = {2024}
}

Comments

5 pages. Suggestions for improvement are welcomed Updates in Mar 14: Some examples added

R2 v1 2026-06-28T14:24:30.784Z