Geodesic
Moments of the Riemann zeta function
Kannan Soundararajan1
1 Stanford University<br/>Department of Mathematics<br/>450 Serra Mall<br/>Building 380<br/>Stanford, CA 94305-2125<br/>United States
Annals of mathematics, Tome 170 (2009) no. 2, pp. 981-993.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2009.170.981

Kannan Soundararajan 1

1 Stanford University<br/>Department of Mathematics<br/>450 Serra Mall<br/>Building 380<br/>Stanford, CA 94305-2125<br/>United States 
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Kannan Soundararajan. Moments of the Riemann zeta function. Annals of mathematics, Tome 170 (2009) no. 2, pp. 981-993. doi : 10.4007/annals.2009.170.981. http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.170.981/

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