Pair correlation of the zeros of the Riemann zeta function in longer ranges
Tsz Ho Chan (2004)
Acta Arithmetica
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Displaying similar documents to “Extreme values of the Riemann zeta-function on short zero intervals”
Pair correlation of the zeros of the Riemann zeta function in longer ranges
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Shaoji Feng (2005)
Acta Arithmetica
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Laurinčikas, Antanas, Steuding, Jörn (2004)
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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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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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Borwein and Bradley's Apéry-like formulae for .
Almkvist, Gert, Granville, Andrew (1999)
Experimental Mathematics
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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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On the Fourth Moment of the Riemann Zeta Functions
Aleksandar Ivić (1995)
Publications de l'Institut Mathématique
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Geometric properties of the zeta function
Hugh L. Montgomery, John G. Thompson (2012)
Acta Arithmetica
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Small values of the Riemann zeta function on the critical line
Justas Kalpokas, Paulius Šarka (2015)
Acta Arithmetica
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We investigate real values of the Riemann zeta function on the critical line. We show that if Gram's points do not intersect with the ordinates of the nontrivial zeros of the Riemann zeta function then the Riemann zeta function takes arbitrarily small real values on the critical line.
Large gaps between consecutive zeros of the Riemann zeta-function. II
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.