KPS Hecke-tree conjecture for rational branches
Let P(t)∈Fq[t]P(t)\in\mathbb{F}_q[t]P(t)∈Fq[t] be irreducible. For a lattice Λ0∈L2\Lambda_0\in\mathcal{L}_2Λ0∈L2, let TP(Λ0)\mathbb{T}_P(\Lambda_0)TP(Λ0) be its P(t)P(t)P(t)-Hecke tree, and let…