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arxiv: 1001.4541 · v1 · submitted 2010-01-25 · 🧮 math.NT · math.RT· math.SP

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Sector estimates for hyperbolic isometries

Jean Bourgain , Alex Kontorovich , Peter Sarnak
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keywords affinebourgainkontorovich2009companioncountingestimatesfuchsiangroupshyperbolic
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We prove various orbital counting statements for Fuchsian groups of the second kind. These are of independent interest, and also are used in the companion paper [BourgainKontorovich2009] to produce primes in the Affine Linear Sieve.

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