The Explicit Sato-Tate Conjecture For Primes In Arithmetic Progressions

Trajan Hammonds, Casimir Kothari, Noah Luntzlara +3

Let $\tau (n)$ be Ramanujan's tau function, defined by the discriminant modular form \[ Δ(z) = q\prod_{j=1}^{\infty}(1-q^{j})^{24}\ =\ \sum_{n=1}^{\infty}τ(n) q^n \,,q=e^{2πi z} \] (th…