Zeta functions for the Riemann zeros

André Voros

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Displaying similar documents to “Zeta functions for the Riemann zeros”

Bounds for double zeta-functions

Isao Kiuchi, Yoshio Tanigawa (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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In this paper we shall derive the order of magnitude for the double zeta-functionof Euler-Zagier type in the region $0 \leq ℜ s_{j} < 1 (j = 1, 2)$ .First we prepare the Euler-Maclaurinsummation formula in a suitable form for our purpose, and then we apply the theory of doubleexponential sums of van der Corput’s type.

An integral involving the generalized zeta function.

Elizalde, E., Romeo, A. (1990)

International Journal of Mathematics and Mathematical Sciences

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A relation between the Riemann zeta-function and the hyperbolic laplacian

Yoichi Motohashi (1995)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On the modulus of the Riemann zeta function in the critical strip

Filip Saidak, Peter D. Zvengrowski (2003)

Mathematica Slovaca

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Some problems on mean values of the Riemann zeta-function

Aleksandar Ivić (1996)

Journal de théorie des nombres de Bordeaux

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Several problems and results on mean values of $ζ (s)$ are discussed. These include mean values of $| ζ (\frac{1}{2} + i t) |$ and the fourth moment of $| ζ (σ + i t) |$ for $1 / 2 < σ < 1$ .

Erratum - Zeta functions for the Riemann zeros

André Voros (2004)

Annales de l’institut Fourier

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Riemann's Hypothesis

Rusev, Peter (2010)

Union of Bulgarian Mathematicians

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Riemann’s memoir is devoted to the function π(x) defined as the number of prime numbers less or equal to the real and positive number x. This is really the fact, but the “main role” in it is played by the already mentioned zeta-function.