CaltechAUTHORS
Published December 2019 | Version Submitted
Journal Article Open

Sharp Upper Bounds for Fractional Moments of the Riemann Zeta Function

Creators

  • 1. ROR icon University College London
  • 2. ROR icon California Institute of Technology
  • 3. ROR icon Stanford University

Abstract

We establish sharp upper bounds for the 2kth moment of the Riemann zeta function on the critical line, for all real 0 ⩽ k ⩽ 2⁠. This improves on earlier work of Ramachandra, Heath-Brown and Bettin–Chandee–Radziwiłł.

Additional Information

© The author(s) 2019. Published by Oxford University Press. This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model). Received: 05 February 2019; Accepted: 03 June 2019; Published: 26 September 2019. The first author is supported by European Research Council grant no. 670239. The second author acknowledges the support of a Sloan fellowship. The third author is partially supported by a grant from the National Science Foundation, and by a Simons Investigator grant from the Simons Foundation.

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Additional details

Identifiers

Eprint ID
101259
Resolver ID
CaltechAUTHORS:20200213-072834344

Related works

Describes
https://arxiv.org/abs/1901.08423 (URL)

Funding

European Research Council (ERC)
670239
Alfred P. Sloan Foundation
NSF
Simons Foundation

Dates

Created
2020-02-13
Created from EPrint's datestamp field
Updated
2021-11-16
Created from EPrint's last_modified field