GENERALISED QUADRATIC FORMS OVER TOTALLY REAL NUMBER FIELDS

IF 1.1 2区数学 Q1 MATHEMATICS

Journal of the Institute of Mathematics of Jussieu Pub Date : 2024-04-11 DOI:10.1017/s1474748024000161

Tim Browning, Lillian B. Pierce, Damaris Schindler

引用次数: 0

Abstract

We introduce a new class of generalised quadratic forms over totally real number fields, which is rich enough to capture the arithmetic of arbitrary systems of quadrics over the rational numbers. We explore this connection through a version of the Hardy–Littlewood circle method over number fields.

查看原文本刊更多论文

完全实数域上的广义二次型

我们引入了一类新的完全实数域上的广义二次型，其丰富程度足以捕捉到有理数上任意二次型系统的算术。我们通过一个版本的数域哈代-利特尔伍德圆法来探索这种联系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of the Institute of Mathematics of Jussieu 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Institute of Mathematics of Jussieu publishes original research papers in any branch of pure mathematics; papers in logic and applied mathematics will also be considered, particularly when they have direct connections with pure mathematics. Its policy is to feature a wide variety of research areas and it welcomes the submission of papers from all parts of the world. Selection for publication is on the basis of reports from specialist referees commissioned by the Editors.