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整数为连续整数和的表示方法(英文)
引用本文:翟文广.整数为连续整数和的表示方法(英文)[J].纺织高校基础科学学报,2014(1):1-4.
作者姓名:翟文广
作者单位:中国矿业大学数学系,北京100083
基金项目:National Natural Science Foundation of China(11171344);the Fundamental Research Funds for the Central Universities in China(2012YS01)
摘    要:研究了将n表示成连续整数(或正整数)和的方法.对任意自然数n,如果知道其所有奇因子,那么就能得到将其表示成连续整数(或正整数)和的所有方法.同时,还研究了此类表示方法的个数的均值.

关 键 词:连续整数  除数函数  误差项

Expressing an integer as a sum of consecutive integers
ZHAI Wen-guang.Expressing an integer as a sum of consecutive integers[J].Basic Sciences Journal of Textile Universities,2014(1):1-4.
Authors:ZHAI Wen-guang
Affiliation:ZHAI Wen-guang (Department of Mathematics,China University of Mining and Technology,Beijing 100083,China)
Abstract:The ways of expressing n as a sum of consecutive integers (or positive integers) is studied .For each natural number n ,it is showed that if we know all odd divisor of n ,then we can get all ways of expressing n as a sum of consecutive integers (or positive integers) .The mean value of the number of such expressions is also investigated .
Keywords:consecutive integer  divisor function  error term
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