Dixon's identity

On finite sums of products of three binomial coefficients, and a hypergeometric sum
Intangible theorem Q5284938
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Dixon's identity

Summary

Dixon's identity is a theorem[1]. It draws 11 Wikipedia views per month (theorem category, ranking #266 of 1,306).[2]

Key Facts

  • Dixon's identity's instance of is recorded as theorem[3].
  • Alfred Cardew Dixon is named after Dixon's identity[4].
  • Dixon's identity's Freebase ID is recorded as /m/04q208l[5].
  • Dixon's identity's defining formula is recorded as \sum_{k=-a}^{a}(-1)^{k}{2a\choose k+a}^3 =\frac{(3a)!}{(a!)^3}[6].
  • Dixon's identity's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • Dixon's identity's Microsoft Academic ID is recorded as 129118281[8].

Why It Matters

Dixon's identity draws 11 Wikipedia views per month (theorem category, ranking #266 of 1,306).[2] It is known by 3 alternative names across languages and contexts.[9]

📑 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). Dixon's identity. Retrieved May 3, 2026, from https://4ort.xyz/entity/dixon-s-identity
MLA “Dixon's identity.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/dixon-s-identity.
BibTeX @misc{4ortxyz_dixon-s-identity_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Dixon's identity}}, year = {2026}, url = {https://4ort.xyz/entity/dixon-s-identity}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Dixon's identity — https://4ort.xyz/entity/dixon-s-identity (retrieved 2026-05-03)

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