{ "id": "1903.11141", "version": "v1", "published": "2019-03-26T20:14:12.000Z", "updated": "2019-03-26T20:14:12.000Z", "title": "A special constant and series with zeta values and harmonic numbers", "authors": [ "Khristo N. Boyadzhiev" ], "comment": "19 pages", "journal": "Gazeta Matematica, Seria A, vol. 115 (3-4) (2018), 1-16", "categories": [ "math.NT" ], "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.", "revisions": [ { "version": "v1", "updated": "2019-03-26T20:14:12.000Z" } ], "analyses": { "subjects": [ "11B34", "11M06", "33B15", "40C15" ], "keywords": [ "zeta values", "harmonic numbers", "special constant", "power series", "importance" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable" } } }