May 6, 2022Open Access

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

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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.

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Vítězslav Kala (Fri,) studied this question.

synapsesocial.com/papers/6a2094128e83bb34c4950ec4 — DOI: https://doi.org/10.1017/s0305004122000214

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Authors

Vítězslav Kala

Jagiellonian University

Journals

Mathematical Proceedings of the Cambridge Philosophical Society

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Charles University

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

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