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MobiusFunctionsLectures(2).pdf

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# link_26odcrigibp.pdf ## Metadata - PDFFormatVersion=1.3 - IsLinearized=false - IsAcroFormPresent=false - IsXFAPresent=false - IsCollectionPresent=false - IsSignaturesPresent=false - Producer=Mac OS X 10.6.4 Quartz PDFContext - Creator=TeX - CreationDate=D:20101206153545Z00'00' - ModDate=D:20101206153545Z00'00' ## Contents ### Page 1 Three Lectures on the Mobius Function Randomness and DynamicsbyPeter Sarnak∗Lecture 1. The Mobius FlowThe Mobius function μ(n), n = 1, 2, 3, . . . is defined by (1) μ(n) =  1 if n = 1 0 if n is not square-free (−1)t if n is a product of t distinct p

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