{ "id": "1812.04494", "version": "v1", "published": "2018-12-10T02:40:47.000Z", "updated": "2018-12-10T02:40:47.000Z", "title": "Values at non-positive integers of partially twisted multiple zeta-functions I", "authors": [ "Driss Essouabri", "Kohji Matsumoto" ], "comment": "21pages. arXiv admin note: substantial text overlap with arXiv:1703.07525", "categories": [ "math.NT" ], "abstract": "We study the behavior of partially twisted multiple zeta-functions. We give new closed and explicit formulas for special values at non-positive integer points of such zeta-functions. Our method is based on a result of M. de Crisenoy on the fully twisted case and the Mellin-Barnes integral formula.", "revisions": [ { "version": "v1", "updated": "2018-12-10T02:40:47.000Z" } ], "analyses": { "subjects": [ "11M32", "11M41" ], "keywords": [ "partially twisted multiple zeta-functions", "mellin-barnes integral formula", "explicit formulas", "special values", "non-positive integer points" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable" } } }