等幂和的多角数表示  

The Representation of Polynomials of the Polygonal Number for Sums of Powers

作　　者：吴克俭[1] 

机构地区：[1]湛江师范学院数学系,广东湛江524048

出　　处：《河南师范大学学报（自然科学版）》2008年第1期26-28,共3页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10271104);广东省自然科学基金(04011425);湛江师范学院博士专项基金

摘　　要：设n,k与m是正整数,证明了公差为k余数为1的等差数列前n项m次幂和与交错和可表示成双k+2角数λ的多项式.In this paper, it is proved that the sum and the alternating sum of ruth power of the first n terms in a positive arithmetic progression with the same common difference k and residue 1 are represented as polynomials of the double k ＋ 2 -gonal number λ where k and in are positive integers.

关 键 词：幂和 多角数 BERNOULLI多项式 

分 类 号：O156[理学—数学]