A uniform estimate for the density of rational points on quadrics
 作者： Félicien Comtat 刊名： Journal de théorie des nombres de Bordeaux, 2019, Vol.31 (1), pp.243-253 来源数据库： The Center for Diffusion of Academic Mathematical Journals DOI： 10.5802/jtnb.1078 关键词： Uniform asymptotic estimates;  Quadratic forms; 原始语种摘要： This paper is concerned with the density of rational points of bounded height lying on a variety defined by an integral quadratic form \$Q\$. In the case of four variables, we give an estimate that does not depend on the coefficients of \$Q\$. For more variables, a similar estimate still holds with the restriction that we only count points which do not lie on \$\mathbb{Q}\$-lines.

• estimate　估计
• asymptotic　渐近的
• rational　有理数
• density　密度
• bounded　有界的
• holds　货舱
• variables　变量
• restriction　限制
• lying　横卧
• concerned　有关