High moments of the Riemann zeta-function

J. Brian Conrey; Steven M. Gonek

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arXiv · math/9902162

High moments of the Riemann zeta-function

J. Brian Conrey·Steven M. Gonek

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Abstract

The authors describe a general approach which, in principal, should produce the correct (conjectural) formula for every even integer moment of the Riemann zeta function. They carry it out for the sixth and eigth powers; in the case of sixth powers this leads to the formula conjectured by Conrey and Ghosh, and in the case of eighth powers is new.

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J. Brian Conrey, Steven M. Gonek. 1999-02-01. High moments of the Riemann zeta-function. https://arxiv.org/abs/math/9902162

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