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.
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页码：621 / 636
页数：16
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