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Möbius function

Möbius function noun: a function from the natural numbers to the set {−1, 0, 1} which maps perfect squares to 0, prime numbers to −1, and is multiplicative.

Noun

Möbius function (uncountable)

  1. A function from the natural numbers to the set {−1, 0, 1} which maps perfect squares to 0, prime numbers to −1, and is multiplicative.

Origin of Möbius function

Named after August Ferdinand Möbius (1790–1868), a German mathematician and theoretical astronomer who introduced it in 1832.

Questions about Möbius function

What does Möbius function mean?
Möbius function means a function from the natural numbers to the set {−1, 0, 1} which maps perfect squares to 0, prime numbers to −1, and is multiplicative.
What part of speech is Möbius function?
Möbius function is a noun.

Words near Möbius function in the dictionary

  1. Mórrígan
  2. Móstoles
  3. Möbius
  4. Möbius band
  5. Möbius bands
  6. Möbius function
  7. Möbius group
  8. Möbius groups
  9. Möbius loop
  10. Möbius loops
  11. Möbius scarf

Source and license

Adapted from Wiktionary: Möbius function (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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