{ "id": "2110.03288", "version": "v3", "published": "2021-10-07T09:21:02.000Z", "updated": "2022-02-13T12:03:32.000Z", "title": "On the Distribution of large values of $|ζ(σ+{\\rm i}t)|$", "authors": [ "Zikang Dong" ], "comment": "15 pages", "categories": [ "math.NT" ], "abstract": "We investigate the distribution of large values of the Riemann zeta function $\\zeta(s)$ in the strip $1/2<\\re s<1$. For any fixed $\\re s=\\sigma\\in(1/2,1)$, we obtain an improved distribution function of large values of $|\\zeta(\\sigma+\\i t)|$, holding in the same range as that given by Lamzouri.", "revisions": [ { "version": "v3", "updated": "2022-02-13T12:03:32.000Z" } ], "analyses": { "keywords": [ "large values", "riemann zeta function", "distribution function" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }