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Mathematics  2014 

Duke's Theorem for subcollections

DOI: 10.1017/etds.2014.68

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Abstract:

We combine effective mixing and Duke's Theorem on closed geodesics on the modular surface to show that certain subcollections of the collection of geodesics with a given discriminant still equidistribute. These subcollections are only assumed to have sufficiently large total length without any further restrictions.

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