Cohen's refined Zaremba multiplicity conjecture
Cohen's refined Zaremba multiplicity conjecture
In the Zaremba setting, let
F\colon \begin{pmatrix}a&b\c&d\end{pmatrix}\mapsto aand let , , , and be the associated thin-orbit objects and multiplicity.
Cohen's refined Zaremba conjecture. The multiplicity satisfies
This is described as a more precise formulation of Zaremba's conjecture, based on the Local-Global Conjecture and singular-series calculations. The supplied text gives no resolution.
Sources & referencesView supporting material
Primary source
Alex Kontorovich, “Applications of Thin Orbits”, arXiv:1606.06325 (2016).
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