Density of integer solutions to diagonal quadratic forms

被引：0

作者：

T. D. Browning

机构：

[1] University of Bristol,

来源：

Monatshefte für Mathematik | 2007年 / 152卷

关键词：

2000 Mathematics Subject Classification: 11G35; 11P55, 14G05; Key words: Quadratic forms, Hardy–Littlewood circle method, density of solutions, uniform upper bounds;

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学科分类号：

摘要：

Let Q be a non-singular diagonal quadratic form in at least four variables. We provide upper bounds for the number of integer solutions to the equation Q = 0, which lie in a box with sides of length 2B, as B → ∞. The estimates obtained are completely uniform in the coefficients of the form, and become sharper as they grow larger in modulus.

引用

页码：13 / 38

页数：25

共 8 条

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