Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleSHARP UPPER BOUNDS FOR FRACTIONAL MOMENTS OF THE RIEMANN ZETA FUNCTION.AuthorsHeap, Winston; Radziwiłł, Maksym; Soundararajan, KAbstractWe establish sharp upper bounds for the |$2k$| th moment of the Riemann zeta function on the critical line, for all real |$0 \leqslant k \leqslant 2$|. This improves on earlier work of Ramachandra, Heath-Brown and Bettin–Chandee–Radziwiłł.SubjectsZETA functionsPublicationQuarterly Journal of Mathematics, 2019, Vol 70, Issue 4, p1387ISSN0033-5606Publication typeArticleDOI10.1093/qmathj/haz027