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number > number theory > arithmetic function > multiplicative function > Möbius function

Preferred term

Möbius function  

Definition

  • The Möbius function μ(n) is a multiplicative function in number theory introduced by the German mathematician August Ferdinand Möbius (also transliterated Moebius) in 1832. It is ubiquitous in elementary and analytic number theory and most often appears as part of its namesake the Möbius inversion formula. Following work of Gian-Carlo Rota in the 1960s, generalizations of the Möbius function were introduced into combinatorics, and are similarly denoted μ(x).
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/M%C3%B6bius_function)

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http://data.loterre.fr/ark:/67375/PSR-SSRQFTX8-G

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RDF/XML TURTLE JSON-LD Created 7/26/23, last modified 10/18/24