Sum of two squares in biquadratic fields

2024/01/23 by Wenhuan Huang, Huang, Wenhuan
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #History and Theory of Mathematics #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2401.12619

openalex publication_date 2024/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Sum of two squares in cyclic quartic fields
• On the sum of two integral squares in certain quadratic fields
• On the sum of two integral squares in quadratic fields \Q(√(± p))
• Sums of squares of integer-multiple of an integral element on real bi-quadratic fields
• Solving sums of squares in global fields