Litcius/Paper detail

Number fields without universal quadratic forms of small rank exist in most degrees

Vítězslav Kala

2022Mathematical Proceedings of the Cambridge Philosophical Society13 citationsDOIOpen Access PDF

Abstract

Abstract We prove that in each degree divisible by 2 or 3, there are infinitely many totally real number fields that require universal quadratic forms to have arbitrarily large rank.

Topics & Concepts

Rank (graph theory)Quadratic equationMathematicsDegree (music)Pure mathematicsCombinatoricsPhysicsGeometryAcousticsAnalytic Number Theory ResearchAlgebraic Geometry and Number TheoryLimits and Structures in Graph Theory