{ "id": "1905.06171", "version": "v1", "published": "2019-05-15T13:31:55.000Z", "updated": "2019-05-15T13:31:55.000Z", "title": "Geometric Polynomials: Properties and Applications to Series with Zeta Values", "authors": [ "Khristo N. Boyadzhiev", "Ayhan Dil" ], "comment": "18 pages", "journal": "Analysis Mathematica, 2016", "doi": "10.1007/s10476-016-0302-y", "categories": [ "math.NT", "math.CA" ], "abstract": "We provide several properties of the geometric polynomials discussed in earlier works of the authors. Further, the geometric polynomials are used to obtain a closed form evaluation of certain series involving Riemann's zeta function.", "revisions": [ { "version": "v1", "updated": "2019-05-15T13:31:55.000Z" } ], "analyses": { "subjects": [ "11B83", "11M35", "33B99", "40A25" ], "keywords": [ "geometric polynomials", "zeta values", "properties", "applications", "riemanns zeta function" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer" }, "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }