Recognition: unknown
Distjointness of Mobius from horocycle flows
classification
🧮 math.NT
math.DS
keywords
flowshorocyclemobiusprovebackslashbilineardiscretedisjoint
read the original 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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