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Möbius function

multiplicative function in number theory
Thing multiplicative_function Q205243
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Möbius function

Summary

Möbius function is a multiplicative function[1]. It draws 685 Wikipedia views per month (multiplicative_function category, ranking #1 of 4).[2]

Key Facts

  • Möbius function's instance of is recorded as multiplicative function[3].
  • Möbius function's instance of is recorded as integer-valued function[4].
  • Möbius function's instance of is recorded as mathematical concept[5].
  • August Ferdinand Möbius is named after Möbius function[6].
  • Möbius function's Commons category is recorded as Moebius function[7].
  • Möbius function's maintained by WikiProject is recorded as WikiProject Mathematics[8].

Body

Definition and Type

Recorded instance of include multiplicative function[3], integer-valued function[4], and mathematical concept[5].

Origins

August Ferdinand Möbius is named after Möbius function[6].

Why It Matters

Möbius function draws 685 Wikipedia views per month (multiplicative_function category, ranking #1 of 4).[2] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[9] It is known by 22 alternative names across languages and contexts.[10]

Related Entities

August Ferdinand Möbius

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [9] ↑ . Wikidata sitelinks. wikidata.org.
  3. [10] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Möbius function. Retrieved October 4, 2026, from https://4ort.xyz/entity/m-bius-function
MLA “Möbius function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 4 Oct. 2026, https://4ort.xyz/entity/m-bius-function.
BibTeX @misc{4ortxyz_m-bius-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Möbius function}}, year = {2026}, url = {https://4ort.xyz/entity/m-bius-function}, note = {Accessed: 2026-10-04}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Möbius function — https://4ort.xyz/entity/m-bius-function (retrieved 2026-10-04)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 25d ago · VGMaintenanceBot bot · 2026-09-08 view diff on Wikidata ↗
    Instance of → multiplicative function, integer-valued function, mathematical concept
    Maintained by wikiproject → WikiProject Mathematics
    Instance of → —
    Named after → August Ferdinand Möbius
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetqualifier-add:1| */ [[Property:P9675]]: 12708, Add qualifier to Rosetta Code page ID `Möbius_function`"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.