A Survey of a Random Matrix Model for a Family of Cusp Forms
A Survey of a Random Matrix Model for a Family of Cusp Forms
The Katz-Sarnak philosophy states that statistics of zeros of $L$-function families near the central point as the conductors tend to infinity agree with those of eigenvalues of random matrix ensembles as the matrix size tends to infinity. While numerous results support this conjecture, S. J. Miller observed that for finite …