Upper bounds for moments of ζ′(<i>ρ</i> )

Micah B. Milinovich

Type: Article

Publication Date: 2009-12-16

Citations: 23

DOI: https://doi.org/10.1112/blms/bdp096

Abstract

Assuming the Riemann hypothesis, we obtain an upper bound for the 2kth moment of the derivative of the Riemann zeta-function averaged over the non-trivial zeros of ζ(s) for every positive integer k. Our bounds are nearly as sharp as the conjectured asymptotic formulae for these moments.

Locations

Bulletin of the London Mathematical Society - View
arXiv (Cornell University) - View - PDF
DataCite API - View

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