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5. A NEW APPLICATION OF DAVENPORT’S METHOD

A NEW APPLICATION OF DAVENPORT’S METHOD

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：liuyibi1987

【摘 要】

：

Let v（n） denote the number of representations of n as the sum of six cubes and twobiquadrates of natural numbers. Then for all sufficiently large n, we have v（n）≥1

【作 者】

：

陆鸣皋 

【机 构】

：

DepartmentofMathematics,UniversityofScienceandTechnologyofChina,Hefei230026,PRC

【出 处】

：

中国科学：数学英文版

【发表日期】

：

1991年4期

【关键词】

：

ADDITIVE theory SUM of higher POWERS applications of Hardy-Little-wood method. a 

【基金项目】

：

Project supported by the Alexander von Humboldt-Fund and the National Natutal Science Foundation of China.

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Let v（n） denote the number of representations of n as the sum of six cubes and twobiquadrates of natural numbers. Then for all sufficiently large n, we have v（n）≥1/（48）²（log16/15）Γ（4/3）⁶Γ（5/4）<sup>2</

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