A strengthening of the Nyman-Beurling criterion for the Riemann hypothesis

Luis Báez-Duarte

Displaying similar documents to “A strengthening of the Nyman-Beurling criterion for the Riemann hypothesis”

A family of deformations of the Riemann xi-function

Masatoshi Suzuki (2013)

Acta Arithmetica

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We introduce a family of deformations of the Riemann xi-function endowed with two continuous parameters. We show that it has rich analytic structure and that its conjectural (mild) zero-free region for some fixed parameter is a sufficient condition for the Riemann hypothesis to hold for the Riemann zeta function.

On subspaces of Riemann-Otsuki space.

Nadj, Djerdji F. (1981)

Publications de l'Institut Mathématique. Nouvelle Série

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Note on a paper by H. L. Montgomery (Omega theorems for the Riemann zeta- function).

Ramachandra, K., Sankaranarayanan, A. (1991)

Publications de l'Institut Mathématique. Nouvelle Série

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Ergodic Universality Theorems for the Riemann Zeta-Function and other $L$ -Functions

Jörn Steuding (2013)

Journal de Théorie des Nombres de Bordeaux

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We prove a new type of universality theorem for the Riemann zeta-function and other $L$ -functions (which are universal in the sense of Voronin’s theorem). In contrast to previous universality theorems for the zeta-function or its various generalizations, here the approximating shifts are taken from the orbit of an ergodic transformation on the real line.

$Ω_{\pm}$ -results of the error term in the mean square formula of the Riemann zeta-function in the critical strip

Yuk-Kam Lau, Kai-Man Tsang (2001)

Acta Arithmetica

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A note on moments of $ζ^{'} (1 / 2 + i γ)$ .

Laurinčikas, Antanas, Steuding, Jörn (2004)

Publications de l'Institut Mathématique. Nouvelle Série

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On Riemann's Zeta Function.

Daniel Bump, Eugene K.-S. Ng (1986)

Mathematische Zeitschrift

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Ω-theorems for the Riemann zeta-function

Norman Levinson (1972)

Acta Arithmetica

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