{ "id": "1410.3635", "version": "v1", "published": "2014-10-14T10:12:31.000Z", "updated": "2014-10-14T10:12:31.000Z", "title": "Large gaps between consecutive zeros of the Riemann zeta-function. III", "authors": [ "H. M. Bui" ], "comment": "12 pages, 1 figure", "categories": [ "math.NT" ], "abstract": "Using Hall's method we show that there exist infinitely many consecutive zeros of the Riemann zeta-function on the critical line whose gaps are greater than $3.18$ times the average spacing.", "revisions": [ { "version": "v1", "updated": "2014-10-14T10:12:31.000Z" } ], "analyses": { "subjects": [ "11M06", "11M26" ], "keywords": [ "riemann zeta-function", "consecutive zeros", "large gaps", "halls method" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1410.3635B" } } }