We present one-parameter series representations for the following series involving the Riemann zeta function ??n=3 n odd ?(n)/n sn and ??n=2 n even ?(n) n sn and we apply our results to obtain new representations for some mathematical constants such as the Euler (or Euler-Mascheroni) constant, the Catalan constant, log 2, ?(3) and ?.
No takes yet. Share an insight, caveat, or question.
Alzer et al. (2017) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: