On Some Integrals Involving the Mean Square Formula for the Riemann Zeta-function
Aleksandar Ivić (1989)
Publications de l'Institut Mathématique
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Displaying similar documents to “On instances of Fox’s integral equation connection to the Riemann zeta function”
On Some Integrals Involving the Mean Square Formula for the Riemann Zeta-function
A zero density result for the Riemann zeta function
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.
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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Ω-theorems for the Riemann zeta-function
Norman Levinson (1972)
Acta Arithmetica
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A limit theorem for the Riemann zeta-function in the complex space
A. Laurinčikas (1990)
Acta Arithmetica
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Borwein and Bradley's Apéry-like formulae for .
Almkvist, Gert, Granville, Andrew (1999)
Experimental Mathematics
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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 Riemann's Zeta Function.
Daniel Bump, Eugene K.-S. Ng (1986)
Mathematische Zeitschrift
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On the Fourth Moment of the Riemann Zeta Functions
Aleksandar Ivić (1995)
Publications de l'Institut Mathématique
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Mean values of the Riemann zeta-function and its derivatives.
S.M. Gonek (1984)
Inventiones mathematicae
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Correction to: "On a positivity property of the Riemann ξ-function" (Acta Arith. 89 (1999), 217-234)
Jeffrey C. Lagarias (2005)
Acta Arithmetica
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