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arXiv:1903.11141 [math.NT]AbstractReferencesReviewsResources

A special constant and series with zeta values and harmonic numbers

Khristo N. Boyadzhiev

Published 2019-03-26Version 1

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.

Comments: 19 pages
Journal: Gazeta Matematica, Seria A, vol. 115 (3-4) (2018), 1-16
Categories: math.NT
Subjects: 11B34, 11M06, 33B15, 40C15
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