A note on moments of .
Laurinčikas, Antanas, Steuding, Jörn (2004)
Publications de l'Institut Mathématique. Nouvelle Série
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Laurinčikas, Antanas, Steuding, Jörn (2004)
Publications de l'Institut Mathématique. Nouvelle Série
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H. M. Bui (2014)
Acta Arithmetica
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Assuming the Riemann Hypothesis we show that there exist infinitely many consecutive zeros of the Riemann zeta-function whose gaps are greater than 2.9 times the average spacing.
Tsz Ho Chan (2004)
Acta Arithmetica
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Shaoji Feng (2005)
Acta Arithmetica
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Habiba Kadiri (2013)
Acta Arithmetica
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We prove an explicit bound for N(σ,T), the number of zeros of the Riemann zeta function satisfying ℜ𝔢 s ≥ σ and 0 ≤ ℑ𝔪 s ≤ T. This result provides a significant improvement to Rosser's bound for N(T) when used for estimating prime counting functions.
A. Good (1981)
Acta Arithmetica
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Csordas, George, Yang, Chung-Chun (2003)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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André Voros (2004)
Annales de l’institut Fourier
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J. Kaczorowski, A. Perelli (2008)
Acta Arithmetica
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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.
Tsz Ho Chan (2004)
Acta Arithmetica
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Yuichi Kamiya, Masatoshi Suzuki (2004)
Publications de l'Institut Mathématique
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A. Laurinčikas (1990)
Acta Arithmetica
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