pair correlation
Pair correlation measures how the gaps between points in a set are distributed and, in number theory, describes the spacing of zeta zeros.
Pair correlation is a statistical concept that measures how the distances between pairs of points in a set are distributed. It is also used in physics and probability theory.
In number theory, the best-known example is the pair correlation conjecture proposed by Hugh Montgomery for the spacing between zeros of the Riemann zeta function. The observation that these spacings behave like the spacings between eigenvalues of random matrices opened a line of research linking number theory and mathematical physics.
This entry is based on AIPOST articles and widely known facts. If something is wrong, please send us a correction request.