Weierstrass factorization theorem

theorem in complex analysis that entire functions can be factorized according to their zeros
Intangible theorem Q1330788
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Weierstrass factorization theorem

Summary

Weierstrass factorization theorem is a theorem[1]. It draws 207 Wikipedia views per month (theorem category, ranking #149 of 1,306).[2]

Key Facts

  • Weierstrass factorization theorem's instance of is recorded as theorem[3].
  • Karl Weierstraß is named after Weierstrass factorization theorem[4].
  • Weierstrass factorization theorem's part of is recorded as list of theorems[5].
  • Weierstrass factorization theorem's time of discovery or invention is recorded as +1876-01-01T00:00:00Z[6].
  • Weierstrass factorization theorem's Freebase ID is recorded as /m/05dfbr[7].
  • Weierstrass factorization theorem's defining formula is recorded as f(z)=z^\lambda e^{h(z)}\prod_{n=1}^\infty\left(1-\frac{z}{a_n}\right)\exp\left(\frac{z}{a_n}+\frac{1}{2}\left(\frac{z}{a_n}\right)^2+\dots+\frac{1}{p_n}\left(\frac{z}{a_n}\right)^{p_n}\right)[8].
  • Weierstrass factorization theorem's MathWorld ID is recorded as WeierstrassProductTheorem[9].
  • Weierstrass factorization theorem's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • Weierstrass factorization theorem's Microsoft Academic ID is recorded as 74497983[11].
  • Weierstrass factorization theorem's in defining formula is recorded as \prod_{n=1}^{\infty}[12].
  • Weierstrass factorization theorem's in defining formula is recorded as a_n[13].
  • Weierstrass factorization theorem's in defining formula is recorded as f[14].
  • Weierstrass factorization theorem's generalization of is recorded as fundamental theorem of algebra[15].
  • Weierstrass factorization theorem's OpenAlex ID is recorded as C74497983[16].

Why It Matters

Weierstrass factorization theorem draws 207 Wikipedia views per month (theorem category, ranking #149 of 1,306).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[17] It is known by 4 alternative names across languages and contexts.[18]

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] . Freebase Data Dumps. 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.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . 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. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . 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). Weierstrass factorization theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/weierstrass-factorization-theorem
MLA “Weierstrass factorization theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/weierstrass-factorization-theorem.
BibTeX @misc{4ortxyz_weierstrass-factorization-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Weierstrass factorization theorem}}, year = {2026}, url = {https://4ort.xyz/entity/weierstrass-factorization-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Weierstrass factorization theorem — https://4ort.xyz/entity/weierstrass-factorization-theorem (retrieved 2026-05-03)

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