计数二次曲面上的有理点

IF 1 3区数学 Q1 MATHEMATICS

Discrete Analysis Pub Date : 2018-01-03 DOI:10.19086/da.4375

T. Browning, Roger Heath-Brown

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引用次数: 5

摘要

我们给出了位于由二次型$Q$定义的曲面上的高度至多为$B$的有理点的数量的上界。绑定显示了对$Q$的显式依赖。它对于$B$是最优的，对于典型形式$Q$也是最优的。

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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Counting rational points on quadric surfaces

We give an upper bound for the number of rational points of height at most $B$, lying on a surface defined by a quadratic form $Q$. The bound shows an explicit dependence on $Q$. It is optimal with respect to $B$, and is also optimal for typical forms $Q$.

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来源期刊

Discrete Analysis Mathematics-Algebra and Number Theory

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

17 weeks

期刊介绍： Discrete Analysis is a mathematical journal that aims to publish articles that are analytical in flavour but that also have an impact on the study of discrete structures. The areas covered include (all or parts of) harmonic analysis, ergodic theory, topological dynamics, growth in groups, analytic number theory, additive combinatorics, combinatorial number theory, extremal and probabilistic combinatorics, combinatorial geometry, convexity, metric geometry, and theoretical computer science. As a rough guideline, we are looking for papers that are likely to be of genuine interest to the editors of the journal.