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

Tsz Ho Chan

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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

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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)

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

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

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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.