{ "id": "math/0610108", "version": "v2", "published": "2006-10-03T12:24:04.000Z", "updated": "2006-10-07T12:05:38.000Z", "title": "The Continuing Story of Zeta", "authors": [ "Graham Everest", "Christian Roettger", "Tom Ward" ], "comment": "Extra references added", "journal": "Math. Intelligencer, 31, No. 3, 13-17 (2009)", "doi": "10.1007/s00283-009-9053-y", "categories": [ "math.NT", "math.GM" ], "abstract": "We show how the Binomial Theorem can be used to continue the Riemann Zeta Function to the left hand half-plane. This method yields the explicit values of the function at non-positive integers in terms of the Bernoulli numbers.", "revisions": [ { "version": "v2", "updated": "2006-10-07T12:05:38.000Z" } ], "analyses": { "subjects": [ "11M06" ], "keywords": [ "continuing story", "left hand half-plane", "riemann zeta function", "binomial theorem", "explicit values" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....10108E" } } }