Published December 2019
| Submitted
Journal Article
Open
Sharp Upper Bounds for Fractional Moments of the Riemann Zeta Function
Chicago
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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.Attached Files
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Additional details
- Eprint ID
- 101259
- Resolver ID
- CaltechAUTHORS:20200213-072834344
- European Research Council (ERC)
- 670239
- Alfred P. Sloan Foundation
- NSF
- Simons Foundation
- Created
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2020-02-13Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field