Distjointness of Mobius from horocycle flows

Details Distjointness of Mobius from horocycle flows Distjointness of Mobius from horocycle flows

2011-10-05

arxiv.org/abs/1110.0992v1

Mathematics

Number Theory

Scientific paper

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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