Euler function

the mathematical function ∏ₖ₌₁^∞ (1−𝑞ᵏ)
Thing holomorphic_function Q2723749
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Euler function

Summary

Euler function is a holomorphic function[1]. It draws 20 Wikipedia views per month (holomorphic_function category, ranking #2 of 2).[2]

Key Facts

  • Euler function's image is recorded as Euler function.png[3].
  • Euler function's instance of is recorded as holomorphic function[4].
  • Leonhard Euler is named after Euler function[5].
  • Euler function's Freebase ID is recorded as /m/073jvh[6].
  • Euler function's different from is recorded as Euler's totient function[7].
  • Euler function's defining formula is recorded as \phi(q)=\prod_{k=1}^\infty(1-q^k)=(q;q)\infty=\frac1{\sum{k=0}^\infty p(k)q^k}[8].
  • Euler function's Microsoft Academic ID is recorded as 51524170[9].
  • Euler function's in defining formula is recorded as \phi[10].
  • Euler function's in defining formula is recorded as (~;~)_\infty[11].
  • Euler function's in defining formula is recorded as p[12].

Why It Matters

Euler function draws 20 Wikipedia views per month (holomorphic_function category, ranking #2 of 2).[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[13]

📑 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). Euler function. Retrieved May 3, 2026, from https://4ort.xyz/entity/euler-function
MLA “Euler function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/euler-function.
BibTeX @misc{4ortxyz_euler-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Euler function}}, year = {2026}, url = {https://4ort.xyz/entity/euler-function}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Euler function — https://4ort.xyz/entity/euler-function (retrieved 2026-05-03)

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