English

Sums of series involving central binomial coefficients & harmonic numbers

Number Theory 2019-03-19 v2

Abstract

This paper contains a number of series whose coefficients are products of central binomial coefficients & harmonic numbers. An elegant sum involving ζ(2)\zeta(2) and two other nice sums appear in the last section.

Keywords

Cite

@article{arxiv.1806.03998,
  title  = {Sums of series involving central binomial coefficients & harmonic numbers},
  author = {Amrik Singh Nimbran},
  journal= {arXiv preprint arXiv:1806.03998},
  year   = {2019}
}