Liouville function

arithmetic function
Thing arithmetic_function Q385019
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Liouville function

Summary

Liouville function is an arithmetic function[1]. It draws 40 Wikipedia views per month (arithmetic_function category, ranking #2 of 4).[2]

Key Facts

  • Liouville function's instance of is recorded as arithmetic function[3].
  • Liouville function's instance of is recorded as multiplicative function[4].
  • Joseph Liouville is named after Liouville function[5].
  • Liouville function's Commons category is recorded as Liouville function[6].
  • Liouville function's Freebase ID is recorded as /m/0q5cz[7].
  • Liouville function's MathWorld ID is recorded as LiouvilleFunction[8].
  • Liouville function's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Liouville function's Microsoft Academic ID is recorded as 207356348[10].
  • Liouville function's Digital Library of Mathematical Functions ID is recorded as 27.2.E13[11].

Why It Matters

Liouville function draws 40 Wikipedia views per month (arithmetic_function category, ranking #2 of 4).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[12] It is known by 3 alternative names across languages and contexts.[13]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . Retrieved . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org. wikidata.org. Provenance: wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] . Wikidata sitelinks. wikidata.org.
  3. [13] . 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). Liouville function. Retrieved May 3, 2026, from https://4ort.xyz/entity/liouville-function
MLA “Liouville function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/liouville-function.
BibTeX @misc{4ortxyz_liouville-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Liouville function}}, year = {2026}, url = {https://4ort.xyz/entity/liouville-function}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Liouville function — https://4ort.xyz/entity/liouville-function (retrieved 2026-05-03)

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