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Perron's formula

formula to calculate the sum of an arithmetic function in analytic number theory
Intangible formula Q2759571
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Perron's formula

Summary

Perron's formula is a formula[1]. It draws 60 Wikipedia views per month (formula category, ranking #112 of 501).[2]

Key Facts

  • Perron's formula's instance of is recorded as formula[3].
  • Perron's formula's instance of is recorded as mathematical concept[4].
  • Oskar Perron is named after Perron's formula[5].
  • Perron's formula's Freebase ID is recorded as /m/0cvlxb[6].
  • Perron's formula's defining formula is recorded as A(x) = {\sum_{n\le x}}^{\star} a(n)=\frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty} g(z)\frac{x^{z}}{z} dz[7].
  • Perron's formula's MathWorld ID is recorded as PerronsFormula[8].
  • Perron's formula's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Perron's formula's Microsoft Academic ID is recorded as 131415978[10].

Why It Matters

Perron's formula draws 60 Wikipedia views per month (formula category, ranking #112 of 501).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[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.
  8. [10] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [11] ↑ . 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). Perron's formula. Retrieved May 3, 2026, from https://4ort.xyz/entity/perron-s-formula
MLA “Perron's formula.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/perron-s-formula.
BibTeX @misc{4ortxyz_perron-s-formula_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Perron's formula}}, year = {2026}, url = {https://4ort.xyz/entity/perron-s-formula}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Perron's formula — https://4ort.xyz/entity/perron-s-formula (retrieved 2026-05-03)

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