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