English

A special constant and series with zeta values and harmonic numbers

Number Theory 2019-03-28 v1

Abstract

In this paper we demonstrate the importance of a mathematical constant which is the value of several interesting numerical series involving harmonic numbers, zeta values, and logarithms. We also evaluate in closed form a number of numerical and power series.

Keywords

Cite

@article{arxiv.1903.11141,
  title  = {A special constant and series with zeta values and harmonic numbers},
  author = {Khristo N. Boyadzhiev},
  journal= {arXiv preprint arXiv:1903.11141},
  year   = {2019}
}

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19 pages