Three Lectures on the Mobius Function Randomness and Dynamics

@inproceedings{Sarnak2010ThreeLO,
  title={Three Lectures on the Mobius Function Randomness and Dynamics},
  author={Peter Sarnak},
  year={2010}
}
1 if n = 1 0 if n is not square-free (−1) t if n is a product of t distinct primes. Its behavior is central in the theory of prime numbers. For example, the " orthogonality " of µ and the function 1, meaning that (2) 

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