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research
Sharp upper bounds for fractional moments of the Riemann zeta function
Authors
Winston Heap
Maksym Radziwiłł
Kannan Soundararajan
Publication date
24 January 2019
Publisher
View
on
arXiv
Abstract
We establish sharp upper bounds for the
2
k
2k
2
k
th moment of the Riemann zeta function on the critical line, for all real
0
⩽
k
⩽
2
0 \leqslant k \leqslant 2
0
⩽
k
⩽
2
. This improves on earlier work of Ramachandra, Heath-Brown and Bettin-Chandee-Radziwi\l\lComment: 10 page
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Last time updated on 02/04/2020