ON THE DIOPHANTINE EQUATION sum from i=0 to k 1/x_i=a/n

被引：0

作者：

单墫

机构：

[1] Department of Mathematics China University of Science and Technology

[2] Hefei

[3] Anhui

[4] China.

来源：

ChineseAnnalsofMathematics | 1986年 / 02期

关键词：

insoluble; integers; implied;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper,the author proves the following result:Let Ea,k（N）denote the number of natural numbers n≤N for which equationis insoluble in positive integers xi（i=0,1,…,k）.ThenEa,k（N）N exp{-C（log N）1-（1/（1/k+1））}where the implied constant depends on a and k.

引用

页码：213 / 220

页数：8

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