Pair correlation of the zeros of the Riemann zeta function in longer ranges

Tsz Ho Chan

Displaying similar documents to “Pair correlation of the zeros of the Riemann zeta function in longer ranges”

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.

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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A note on the zeros of the derivative of the Riemann zeta function near the critical line

Shaoji Feng (2005)

Acta Arithmetica

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An Asymptotic Formula for a sum Involving Zeros of the Riemann Zeta-function

Yuichi Kamiya, Masatoshi Suzuki (2004)

Publications de l'Institut Mathématique

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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.