Winston Heap, Maksym Radziwiłł, Kannan Soundararajan
Published 2019-01-24Version 1
We 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-Radziwi\l\l
Other representations of the Riemann Zeta function and an additional reformulation of the Riemann Hypothesis
Self-reciprocal functions, powers of the Riemann zeta function and modular-type transformations
On the Gram's Law in the Theory of Riemann Zeta Function
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