On the moments of the moments of ζ(1/2 + it)

Taking t at random, uniformly from [0,𝑇], we consider the kth moment, with respect to t, of the random variable corresponding to the 2βth moment of ζ(1/2+𝒾x) over the interval x ∈ (𝑡,𝑡+1), where ζ(s) is the Riemann zeta function. We call these the ‘moments of moments’ of the Riemann zeta function, a...

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Bibliographic Details
Main Authors: Bailey, EC, Keating, J
Format: Journal article
Language:English
Published: Elsevier 2021