SHARP UPPER BOUNDS FOR FRACTIONAL MOMENTS OF THE RIEMANN ZETA FUNCTION-Reference-Cited by-同舟云学术

SHARP UPPER BOUNDS FOR FRACTIONAL MOMENTS OF THE RIEMANN ZETA FUNCTION

Published:2019-09-26 Issue:4 Volume:70 Page:1387-1396
ISSN:0033-5606
Container-title:The Quarterly Journal of Mathematics
language:en
Short-container-title:

Author:

Heap Winston¹,Radziwiłł Maksym²,Soundararajan K³

Affiliation:

1. Department of Mathematics, University College London, 25 Gordon Street, London WC1H, UK

2. Department of Mathematics, Caltech, 1200 E California Blvd, Pasadena, CA 91125, USA

3. Department of Mathematics, Stanford University, 450 Serra Mall, Bldg. 380, Stanford, CA 94305, USA

Abstract

AbstractWe 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.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/qjmath/article-pdf/70/4/1387/31562584/haz027.pdf

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4. Sharp conditional bounds for moments of the Riemann zeta function;Harper

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