On the number of rational points on a class of singular hypersurfaces

被引：2

作者：

Wen, Tingting ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, 27 Shanda Nanlu, Jinan 250100, Shandong, Peoples R China

来源：

PERIODICA MATHEMATICA HUNGARICA | 2023年 / 86卷 / 02期

关键词：

Rational points; Singular hypersurface; Asymptotic formula; Power saving error term;

D O I：

10.1007/s10998-022-00495-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S-4(m) be a class of singular hypersurfaces defined by x(m+2) = (y(1)(2) + y(2)(2) + y(3)(2) + y(4)(2))z(m), where m >= 2 is an integer. We establish a more precise asymptotic formula for the number of rational points of bounded height on S-4(m) with a power saving error term.

引用

页码：621 / 636

页数：16

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