{ "id": "0807.0019", "version": "v2", "published": "2008-06-30T21:12:46.000Z", "updated": "2008-07-02T12:49:26.000Z", "title": "Zeros of partial sums of the Riemann zeta-function", "authors": [ "S. M. Gonek", "A. H. Ledoan" ], "comment": "9 pages", "categories": [ "math.NT" ], "abstract": "We investigate the distribution of the zeros of partial sums of the Riemann zeta-function, sum_{n\\leq X}n^{-s}, estimating the number of zeros up to height T, the number of zeros to the right of a given vertical line, and other aspects of their horizontal distribution.", "revisions": [ { "version": "v2", "updated": "2008-07-02T12:49:26.000Z" } ], "analyses": { "subjects": [ "11M06", "11M26", "11M41" ], "keywords": [ "partial sums", "riemann zeta-function", "horizontal distribution", "vertical line" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0807.0019G" } } }