Sums of Series Containing Generalized Harmonic Numbers
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.
(generalized)harmonic numbersum of serieszeta functionp-series