Mean-zero Sato–Tate law for conjugation-stable sets of analytic L-functions
Let S\mathcal{S}S be a finite set of entire analytic LLL-functions that is stable under conjugation, so that S‾=S\overline{\mathcal{S}}=\mathcal{S}S=S. Let (af)f∈S(a_f)_{f\in\mathcal{S}}(af)f∈S be…