Kitaoka's conjecture and sums of squares
Abstract
Abstract We connect the existence of a ternary classical universal quadratic form over a totally real number field with the property that all totally positive multiples of 2 are sums of squares (if does not contain or contains a nonsquare totally positive unit). In particular, we get that Kitaoka's conjecture holds for all fields of odd discriminant.
Fields of Study & Subjects
Analytic Number Theory Research
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 8
- Publication date
- 20 July 2026
- Language
- EN