偶数p-级数和式的改进

Improve summation of even p-series

近年来,关于偶数p-级数的求和问题已有许多研究结果.最近,作者获得了偶数p-级数的一个求和显式,同时,也得到了其交错级数的一个求和显式.本文对这些结果作了进一步的改进,使计算更为简单可行.

Recent years have witnessed many new findings regarding the sum of even p-series.The author has recently obtained an explicit of a summation of even p-series.An explicit of a summation of the interlace series was also obtained.Further improvements have been made over the above results,making it much simpler and more workable.