More precise Pair Correlation Conjecture on the zeros of the Riemann zeta function

Tsz Ho Chan

Displaying similar documents to “More precise Pair Correlation Conjecture on the zeros of the Riemann zeta function”

On the pair correlation conjecture for zeros of the Riemann zeta-function.

D.A. Goldston (1988)

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On Karatsuba Conjecture and the Lindelöf Hypothesis

Shao-Ji Feng (2004)

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

Tsz Ho Chan (2004)

Acta Arithmetica

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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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Gaps between primes, and the pair correlation of zeros of the zeta-function

D. Heath-Brown (1982)

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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 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.