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

IF 0.8 3区 数学 Q3 MATHEMATICS
Vítězslav Kala
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引用次数: 7

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.
没有小秩的普适二次型的数域在大多数度上都存在
摘要证明了在可被2或3整除的每一个阶上,存在无限多个需要具有任意大秩的全称二次型的全实数域。
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来源期刊
CiteScore
1.70
自引率
0.00%
发文量
39
审稿时长
6-12 weeks
期刊介绍: Papers which advance knowledge of mathematics, either pure or applied, will be considered by the Editorial Committee. The work must be original and not submitted to another journal.
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