An unconditional explicit bound on the error term in the Sato-Tate conjecture

Alexandra Hoey, Jonas Iskander, Steven Jin +1

Let $f(z)={\sum }_{n=1}^{\infty }{a}_f(n)q^n$ be a holomorphic cuspidal newform with even integral weight $k\ge 2$, level $N$, trivial nebentypus, and no complex multiplication (CM). F…