Rogers–Ramanujan identities

Mathematical identities related to basic hypergeometric series
Intangible theorem Q7359380
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Rogers–Ramanujan identities

Summary

Rogers–Ramanujan identities is a theorem[1]. It draws 83 Wikipedia views per month (theorem category, ranking #229 of 1,306).[2]

Key Facts

  • Rogers–Ramanujan identities's instance of is recorded as theorem[3].
  • Leonard James Rogers is named after Rogers–Ramanujan identities[4].
  • Srinivasa Ramanujan is named after Rogers–Ramanujan identities[5].
  • Rogers–Ramanujan identities's Freebase ID is recorded as /m/073wyw[6].
  • Rogers–Ramanujan identities's facet of is recorded as hypergeometric series[7].
  • Rogers–Ramanujan identities's defining formula is recorded as G(q) = \sum_{n=0}^\infty \frac {q^{n^2}} {(q;q)n} = \frac {1}{(q;q^5)\infty (q^4; q^5)_\infty}=1+ q +q^2 +q^3 +2q^4+2q^5 +3q^6+\cdots[8].
  • Rogers–Ramanujan identities's defining formula is recorded as H(q) =\sum_{n=0}^\infty \frac{q^{n^2+n}} {(q;q)n} = \frac {1}{(q^2;q^5)\infty (q^3; q^5)_\infty}=1+q^2 +q^3 +q^4+q^5 +2q^6+\cdots[9].
  • Rogers–Ramanujan identities's MathWorld ID is recorded as Rogers-RamanujanIdentities[10].
  • Rogers–Ramanujan identities's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • Rogers–Ramanujan identities's Microsoft Academic ID is recorded as 191834802[12].
  • Rogers–Ramanujan identities's Encyclopedia of China is recorded as 57137[13].

Why It Matters

Rogers–Ramanujan identities draws 83 Wikipedia views per month (theorem category, ranking #229 of 1,306).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[14]

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] . 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.

📑 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). Rogers–Ramanujan identities. Retrieved May 3, 2026, from https://4ort.xyz/entity/rogers-ramanujan-identities
MLA “Rogers–Ramanujan identities.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/rogers-ramanujan-identities.
BibTeX @misc{4ortxyz_rogers-ramanujan-identities_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Rogers–Ramanujan identities}}, year = {2026}, url = {https://4ort.xyz/entity/rogers-ramanujan-identities}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Rogers–Ramanujan identities — https://4ort.xyz/entity/rogers-ramanujan-identities (retrieved 2026-05-03)

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