Statistical properties of the Moebius function

Ya G. Sinai

Research output: Contribution to journalArticlepeer-review


Ya. G. Sinai explains the statistical properties of the Möbius function. He starts that every positive integer n can be written as a product of primes. The first unexpected property of this sequence is that correlations depend on arithmetic properties of the number k. The relation of the Möbius function to square-free numbers is the indicator of the set of square-free numbers. He explains the properties with the help of several references and equations.

Original languageEnglish (US)
Pages (from-to)1607-1613
Number of pages7
JournalAutomation and Remote Control
Issue number10
StatePublished - Oct 2013

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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