The number of integer points on Vinogradov's quadric

被引：9

作者：

Blomer, V. ^{[1
]}

Bruedern, J. ^{[2
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

[2] Univ Stuttgart, Inst Algebra & Zahlentheorie, D-70511 Stuttgart, Germany

来源：

MONATSHEFTE FUR MATHEMATIK | 2010年 / 160卷 / 03期

关键词：

Singular quadric; Integer points; Hyperbola method; EQUATIONS;

D O I：

10.1007/s00605-008-0085-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An asymptotic formula is obtained for the number of integer solutions of bounded height on Vinogradov's quadric. Two leading terms are determined, and a strong estimate for the error term is given.

引用

页码：243 / 256

页数：14

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