Spence's function

special function
Thing polylogarithm Q1290753
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Spence's function

Summary

Spence's function is a polylogarithm[1]. It draws 134 Wikipedia views per month (polylogarithm category, ranking #1 of 1).[2]

Key Facts

  • Spence's function's instance of is recorded as polylogarithm[3].
  • Spence's function's instance of is recorded as mathematical concept[4].
  • Spence's function's quantity symbol is recorded as Li_2(z)[5].
  • Spence's function's Freebase ID is recorded as /m/0799b_[6].
  • Spence's function's Encyclopædia Britannica Online ID is recorded as topic/dilogarithm[7].
  • Spence's function's different from is recorded as binary logarithm[8].
  • Spence's function's defining formula is recorded as \operatorname{Li}2(z) = -\int_0^z\frac{\ln(1-t)}{t}\,\mathrm{d}t = \sum{j=1}^\infty \frac{z^j}{j^2}[9].
  • Spence's function's MathWorld ID is recorded as Dilogarithm[10].
  • Spence's function's maintained by WikiProject is recorded as WikiProject Mathematics[11].

Why It Matters

Spence's function draws 134 Wikipedia views per month (polylogarithm category, ranking #1 of 1).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[12] It is known by 8 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] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . Freebase Data Dumps. wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . 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). Spence's function. Retrieved May 3, 2026, from https://4ort.xyz/entity/spence-s-function
MLA “Spence's function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/spence-s-function.
BibTeX @misc{4ortxyz_spence-s-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Spence's function}}, year = {2026}, url = {https://4ort.xyz/entity/spence-s-function}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Spence's function — https://4ort.xyz/entity/spence-s-function (retrieved 2026-05-03)

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