Moments of the Riemann zeta-function

Details Moments of the Riemann zeta-function Moments of the Riemann zeta-function

2006-12-04

arxiv.org/abs/math/0612106v2

Mathematics

Number Theory

11 pages; Version 2 has some significant changes in the exposition

Scientific paper

Assuming the Riemann Hypothesis we obtain an upper bound for the moments of
the Riemann zeta-function on the critical line. Our bound is nearly as sharp as
the conjectured asymptotic formulae for these moments. The method extends to
moments in families of $L$-functions.

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