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Duke’s theorem for subcollections
Published online by Cambridge University Press: 02 October 2014
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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- © Cambridge University Press, 2014
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