{ "id": "1806.09985", "version": "v1", "published": "2018-06-24T00:16:24.000Z", "updated": "2018-06-24T00:16:24.000Z", "title": "Summation formulas involving harmonic numbers with even or odd indexes", "authors": [ "Chuanan Wei", "Dianxuan Gong", "Lily Li Liu" ], "categories": [ "math.CO", "math.NT" ], "abstract": "By means of the derivative operator and Chu-Vandermonde convolution, four families of summation formulas involving harmonic numbers with even or odd indexes are established.", "revisions": [ { "version": "v1", "updated": "2018-06-24T00:16:24.000Z" } ], "analyses": { "keywords": [ "harmonic numbers", "odd indexes", "summation formulas", "chu-vandermonde convolution" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }