A refinement of Sato-Tate conjecture

Abstract

We propose a refined version of the Sato-Tate conjecture about the spacing distribution of the angle determined for each prime number. We also discuss its implications on $L$-function associated with elliptic curves in the relation to random matrix theory.

6 pages

References in corpus (2)

• Nearest neighbor spacing distribution of prime numbers and quantum chaos
• Is there quantum chaos in the prime numbers?