Publication venue Hardy-Ramanujan Society
Publication date 01/01/2003
Field of study No full text International audienceLet ρ = β + i γ \rho = \beta + i \gamma ρ = β + iγ denote a non-trivial zero of the Riemann zeta-function ζ ( s ) \zeta(s) ζ ( s ) . It is shown unconditionally that :∑ ∣ γ ∣ < T 1 ∣ ρ ζ ′ ( ρ ) ∣ ≫ ( log T ) 3 / 4 , \sum^{} \limits_{|\gamma| < T} \frac {1}{\left | \rho \zeta^{\prime}(\rho) \right |} \gg (\log T)^{3/4}, ∣ γ ∣ < T ∑ ∣ ρ ζ ′ ( ρ ) ∣ 1 ≫ ( log T ) 3/4 , where the sum runs over the simple zeros of ζ ( s ) \zeta(s) ζ ( s ) . This improves an earlier quantitative result of the sum under consideration
Publication venue 'Elsevier BV'
Publication date
Field of study No full text
Publication venue 'Elsevier BV'
Publication date
Field of study No full text
Publication venue 'Elsevier BV'
Publication date
Field of study No full text
Publication venue 'Springer Science and Business Media LLC'
Publication date
Field of study No full text
Publication venue 'Steklov Mathematical Institute'
Publication date 01/01/2005
Field of study No full text
Publication venue 'Steklov Mathematical Institute'
Publication date 01/01/2003
Field of study No full text
Publication venue 'Steklov Mathematical Institute'
Publication date 01/01/2004
Field of study No full text