2 problems

Let $E$ be an elliptic curve for which the Sato–Tate conjecture holds. If $\theta_p\in[0,\pi]$ are the Sato–Tate angles and $\rho(\theta)$ is their density, define the unfolded var…

Let $E_\beta^{\rm bulk}(0;(0,s))$ denote the probability that an interval of length $s$ in the bulk contains no eigenvalues for the beta ensemble. Dyson's conjecture. … This is the…