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Montgomery's pair correlation conjecture

In mathematics, Montgomery's pair correlation conjecture is a conjecture made by Hugh Montgomery (1973) that the pair correlation between pairs of zeros of the Riemann zeta function (normalized to have unit average spacing) is

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Conjecture

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Numerical calculation by Odlyzko

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Montgomery's pair correlation conjecture

Nodes26
Edges25
Triples1
Avg. degree1.92
Density0.076923
Components1

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Montgomery's pair correlation conjecture

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Montgomery's pair correlation conjecture → conjecture made by HughMontgomery

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Important terminology

zeros function conjecture riemann zeta pair correlation random 1987 hypothesis displaystyle non-trivial montgomery's odlyzko montgomery average andrewodlyzko 1982 mr numerical

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Montgomery's pair correlation conjectureis aconjecture made by HughMontgomery0.90text

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