Artin–Mazur zeta function

named after Michael Artin and Barry Mazur, a tool for studying the iterated functions that occur in dynamical systems and fractals
Intangible mathematical_concept Q713051
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Artin–Mazur zeta function

Summary

Artin–Mazur zeta function is a mathematical concept[1]. It draws 20 Wikipedia views per month (mathematical_concept category, ranking #237 of 1,007).[2]

Key Facts

  • Artin–Mazur zeta function's instance of is recorded as mathematical concept[3].
  • Michael Artin is named after Artin–Mazur zeta function[4].
  • Barry Mazur is named after Artin–Mazur zeta function[5].
  • Artin–Mazur zeta function's Freebase ID is recorded as /m/04v5jf[6].
  • Artin–Mazur zeta function's defining formula is recorded as \zeta_f(z)=\exp \left(\sum_{n=1}^\infty \text{card} \left(\text{Fix} (f^n)\right) \frac {z^n}{n}\right)[7].
  • Artin–Mazur zeta function's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • Artin–Mazur zeta function's Microsoft Academic ID is recorded as 2776941667[9].

Why It Matters

Artin–Mazur zeta function draws 20 Wikipedia views per month (mathematical_concept category, ranking #237 of 1,007).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[10] It is known by 5 alternative names across languages and contexts.[11]

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.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] . Wikidata sitelinks. wikidata.org.
  3. [11] . 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). Artin–Mazur zeta function. Retrieved May 3, 2026, from https://4ort.xyz/entity/artin-mazur-zeta-function
MLA “Artin–Mazur zeta function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/artin-mazur-zeta-function.
BibTeX @misc{4ortxyz_artin-mazur-zeta-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Artin–Mazur zeta function}}, year = {2026}, url = {https://4ort.xyz/entity/artin-mazur-zeta-function}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Artin–Mazur zeta function — https://4ort.xyz/entity/artin-mazur-zeta-function (retrieved 2026-05-03)

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