# Moments of the Riemann zeta function

@article{Soundararajan2006MomentsOT, title={Moments of the Riemann zeta function}, author={Kannan Soundararajan}, journal={Annals of Mathematics}, year={2006}, volume={170}, pages={981-993} }

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 other families of L-functions.

## 188 Citations

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