On the Local-Global Conjecture for integral Apollonian gasketsReport as inadecuate



 On the Local-Global Conjecture for integral Apollonian gaskets


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We prove that a set of density one satisfies the local-global conjecture for integral Apollonian gaskets. That is, for a fixed integral, primitive Apollonian gasket, almost every in the sense of density admissible passing local obstructions integer is the curvature of some circle in the gasket.



Author: Jean Bourgain; Alex Kontorovich

Source: https://archive.org/



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