纺织高校基础科学学报Issue(1)：21-26,6.DOI:10.13338/j.issn.1006-8341.2015.01.006
正整数方幂和的多项式表示
The sums of power of intergers and its polynomial representation
摘要
Abstract
The sums of powers of integers Sk(n) = ∑n a= 1 ak was studied .A simple technique is used to prove that S2k-1 (n) is a product of n(n+ 1) and a rational polynomial of n(n+ 1) with degree k ,S2k (n) is a product of n(n+ 1)(2n+ 1) and a polynomial of n(n+ 1) with degree k . The recurrence formulae for computing the coefficients of such rational polynomials are also de‐rived .关键词
正整数方幂和/多项式表示/系数计算Key words
sums of powers of integers/polynomial representation/coefficients computation分类
数理科学引用本文复制引用
田清,丁丽萍..正整数方幂和的多项式表示[J].纺织高校基础科学学报,2015,(1):21-26,6.基金项目
陕西省教育厅自然科学基金资助项目（2013JK1190）；西安建筑科技大学青年科技基金资助项目（QN1138）；西安建筑科技大学人才基金资助项目 （）
