Patterns of primes in the Sato-Tate conjecture

Nate Gillman, Michael Kural, Alexandru Pascadi +2

Fix a non-CM elliptic curve $E/\mathbb{Q}$, and let $a_E(p)=p+1-\#E({\mathbb{F}}_p)$ denote the trace of Frobenius at $p$. The Sato-Tate conjecture gives the limiting distribut…