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Orthogonality of the Mobius function to zero-entropy flows

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A conjecture of Peter Sarnak predicts the orthogonality of the Mobius function to zero-entropy flows. Special cases of the conjecture include the Prime Number Theorem, the Ternary Goldbach Conjecture, and a theorem of Green-Tao. In this talk I will report a joint work with Sarnak that the conjecture is true for a relatively wide class of zero-entropy flows.

This talk is part of the Number Theory Seminar series.

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