Toral Affine Sieve Conjecture for hyperbolic toral orbits
Let \g∈GL2(Q)\g\in\operatorname{GL}_2(\mathbb{Q})\g∈GL2(Q) be a hyperbolic matrix, that is, one having two distinct real eigenvalues; equivalently … Let \G=⟨\g⟩+:={\gn:n≥0}\G=\langle\g\rangle^+:=\{\g^n:n\ge0\}\G=⟨\g⟩+:={\gn:n≥0} be…