tau-function

giving the Fourier coefficients of the Ramanujan modular form
Thing multiplicative_function Q3535240
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tau-function

Summary

tau-function is a multiplicative function[1]. tau-function draws 95 Wikipedia views per month (multiplicative_function category, ranking #3 of 4).[2]

Key Facts

  • tau-function's instance of is recorded as multiplicative function[3].
  • tau-function's instance of is recorded as integer-valued function[4].
  • Srinivasa Ramanujan is named after tau-function[5].
  • tau-function's Freebase ID is recorded as /m/02y_4dr[6].
  • tau-function's OEIS ID is recorded as A000594[7].
  • tau-function's defining formula is recorded as \tau: \sum_{n\geq 1}\tau(n)q^n=q\prod_{n\geq 1}(1-q^n)^{24}[8].
  • tau-function's studied by is recorded as number theory[9].
  • tau-function's MathWorld ID is recorded as TauFunction[10].
  • tau-function's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • tau-function's Microsoft Academic ID is recorded as 127808406[12].
  • tau-function's OpenAlex ID is recorded as C127808406[13].

Why It Matters

tau-function draws 95 Wikipedia views per month (multiplicative_function category, ranking #3 of 4).[2] tau-function has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[14] tau-function is known by 4 alternative names across languages and contexts.[15]

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.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . Wikidata sitelinks. wikidata.org.
  3. [15] . 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). tau-function. Retrieved May 3, 2026, from https://4ort.xyz/entity/tau-function
MLA “tau-function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/tau-function.
BibTeX @misc{4ortxyz_tau-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{tau-function}}, year = {2026}, url = {https://4ort.xyz/entity/tau-function}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): tau-function — https://4ort.xyz/entity/tau-function (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/tau-function · Last refreshed:

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. 15d ago · InternetArchiveBot bot · 2026-05-05 view diff on Wikidata ↗
    Named after Srinivasa Ramanujan
    Studied by number theory
    Named after
    Instance of
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-references:1||1|2 */ [[Property:P10283]]: C127808406, Rescuing 1 sources and submitting 0 for archiving. #IABot (v2.0.9.5)"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.