For several series associated with the difference between (generalized)harmonic number and zeta function, the sums of the series are obtained by the analytic continuation of p-series,and several examples are given.Moreover,a calculation formula for the sum of the series containing the tail of the convergent p-series is obtained.
关键词
广义调和数/级数的和/zeta函数/p级数
Key words
(generalized)harmonic number/sum of series/zeta function/p-series
维普
万方数据