高阶形式没有 290定理

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2024-09-24 DOI:10.1002/mana.202400253

Vítězslav Kala, Om Prakash

引用次数: 0

摘要

我们研究了完全实数域整数环上阶数大于 2 的形式的普遍性。我们证明，这种普遍形式总是存在的，但不能用巴尔加瓦-汉克的 290 定理的任何变式来表征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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There is no 290-Theorem for higher degree forms

We study the universality of forms of degrees greater than 2 over rings of integers of totally real number fields. We show that such universal forms always exist, but cannot be characterized by any variant of the 290-Theorem of Bhargava–Hanke.

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index