On Sums of Powers of Odd Integers

被引：1
|
作者：
Songbai GUO [1 ,2 ]
Youjian SHEN [1 ]
机构：
[1] School of Mathematics and Statistics,Hainan Normal University
[2] School of Mathematics and Physics,University of Science and Technology Beijing
来源：
Journal of Mathematical Research with Applications | 2013年 / 33卷 / 06期
关键词：
odd number; sums of powers; binomial theorem; superposition method;
D O I：
暂无
中图分类号：
O174.14 [多项式理论];
学科分类号：
070104 ;
摘要：
In this paper,by using superposition method,we aim to show thatn i=1(2i 1)2k 1 is the product of n2and a rational polynomial in n2with degree k 1,and thatn i=1(2i 1)2k is the product of n(2n 1)(2n + 1) and a rational polynomial in(2n 1)(2n + 1) with degree k 1.Moreover,recurrence formulas to compute the coefcients of the corresponding rational polynomials are also obtained.
引用
收藏
页码：666 / 672
页数：7
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