Math and TheoryQuadratic forms and number theory
1 research manuscript in mathematics. Catalogue areas: Quadratic forms and number theory.
Results in Quadratic forms and number theory
A rank bound for represented totally positive unit squareclasses
Answered negativelyDaans–Kala–Man–Widmer–Yatsyna Question 3.4 on represented unit square classes
A totally positive definite quadratic lattice of rank n over any totally real algebraic field, with integral norms but not necessarily classical, represents at most n totally positive unit square classes, so n + 1 cannot occur.
Manuscript: A rank bound for represented totally positive unit squareclassesLean proof: A rank bound for represented totally positive unit squareclassesVerification: A rank bound for represented totally positive unit squareclasses
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