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Take
a large collection of consecutive zeros/eigenvalues.
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Normalize
so that average
spacing = 1.
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Spacing
Function = Histogram of consecutive differences
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(the
(k+1)st – the kth)
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Pairwise
Correlation Function = Histogram of all possible
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differences
(the kth – the jth)
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Conjecture:
These functions are the same for random
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matrices
and Riemann zeta
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