{ "id": "2103.12590", "version": "v1", "published": "2021-03-19T07:17:31.000Z", "updated": "2021-03-19T07:17:31.000Z", "title": "Integrals of polylogarithms and infinite series involving generalized harmonic numbers", "authors": [ "Rusen Li" ], "comment": "13 pages", "categories": [ "math.NT" ], "abstract": "In this paper, we give explicit evaluation for some infinite series involving generalized (alternating) harmonic numbers. In addition, some formulas for generalized (alternating) harmonic numbers will also be derived.", "revisions": [ { "version": "v1", "updated": "2021-03-19T07:17:31.000Z" } ], "analyses": { "subjects": [ "33E20", "11B83" ], "keywords": [ "generalized harmonic numbers", "infinite series", "polylogarithms", "explicit evaluation" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }