Statistical properties of the Moebius function
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KeywordsRemote Control Limit Theorem Number Theory Zeta Function Gibbs Distribution
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- 1.Kac, M., Slatistical Independence in Probability, Analysis and Number Theory, New York: Wiley, 1959. Translated under the title Statisticheskaya nezavisimost’ v teorii veroyatnostei, analize i teorii chisel, Moscow: Inostrannaya Literatura, 1963.Google Scholar
- 2.Cellarosi, F. and Sinai, Ya.G., Ergodic Properties of Square-Free Numbers, J. Eur. Math. Soc., 2012 (also available at arXiv:1112.4691 [math.DS]).Google Scholar
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