Sharp upper bounds for fractional moments of the Riemann zeta function

Kannan Soundararajan; Maksym Radziwi\l\l; Winston Heap

arxiv: 1901.08423 · v1 · pith:IHVGNSFHnew · submitted 2019-01-24 · 🧮 math.NT

Sharp upper bounds for fractional moments of the Riemann zeta function

Winston Heap , Maksym Radziwi\l\l , Kannan Soundararajan This is my paper

classification 🧮 math.NT

keywords boundsfunctionleqslantriemannsharpupperzetabettin-chandee-radziwi

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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

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Sharp upper bounds for fractional moments of the Riemann zeta function

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