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arXiv:2101.10364 [math.NT]AbstractReferencesReviewsResources

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

Vítězslav Kala

Published 2021-01-25Version 1

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.

Comments: 6 pages
Categories: math.NT
Subjects: 11E12, 11E20, 11R21, 11R80
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