K. Soundararajan
Published 2006-12-04, updated 2008-02-08Version 2
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.
Comments: 11 pages; Version 2 has some significant changes in the exposition
A note on S(T) and the zeros of the Riemann zeta-function
A few equalities involving integrals of the logarithm of the Riemann Zeta-function and equivalent to the Riemann hypothesis
The 4.36-th moment of the Riemann zeta-function
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