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arXiv · 1110.0992

Distjointness of Mobius from horocycle flows

Jean Bourgain·Peter Sarnak·Tamar Ziegler
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Abstract

We formulate and prove a finite version of Vinogradov's bilinear sum inequality. We use it together with Ratner's joinings theorems to prove that the Mobius function is disjoint from discrete horocycle flows on $\Gamma \backslash SL_2(\mathbb{R}).

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Jean Bourgain, Peter Sarnak, Tamar Ziegler. 2011-10-05. Distjointness of Mobius from horocycle flows. https://arxiv.org/abs/1110.0992

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