A. Ivi'c

activity

20032005

most citedOn some reasons for doubting the Riemann hypothesis

25 citations · 41 across the 13 of their papers we have counts for

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Showing 2004Show all

2 papers · 1 filter

math.NT2004

The Mellin transform of the square of Riemann's zeta-function

Aleksandar Ivić

Let $Z_{1} (s) = \int_{1}^{\infty} ∣ ζ (\frac{1}{2} + i x) ∣^{2} x^{- s} d x (σ = ℜ s > 1)$ . A result concerning analytic continuation of $Z_{1} (s)$ to $C$ is proved, and also a…

math.NT2004

On the estimation of some Mellin transforms connected with the fourth moment of $∣ ζ (1/2 + i t) ∣$

Aleksandar Ivić

Mean square estimates for $Z_{2} (s) = \int_{1}^{\infty} ∣ ζ (1/2 + i x) ∣^{4} x^{- s} d x (ℜ s > 1)$ are discussed, and some related Mellin transforms of quantities connected with the fourth power…

The Mellin transform of the square of Riemann's zeta-function

On the estimation of some Mellin transforms connected with the fourth moment of ∣ζ(1/2+it)∣

On the estimation of some Mellin transforms connected with the fourth moment of $∣ ζ (1/2 + i t) ∣$