等幂和的多角数表示

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

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.