Upper bounds for moments of ॐ′( ρ )
Bulletin of the London Mathematical Society
, Volume 42 (1) – Feb 1, 2010
Abstract
Assuming the Riemann hypothesis, we obtain an upper bound for the 2 k th moment of the derivative of the Riemann zeta-function averaged over the non-trivial zeros of ॐ( s ) for every positive integer k . Our bounds are nearly as sharp as the conjectured asymptotic formulae for these moments.
