Lerch transcendent

special mathematical function given by the series ∑_{n=0}^∞ z^n/(n+α)^s
Thing function Q1546155
Press Enter · cited answer in seconds

Lerch transcendent

Summary

Lerch transcendent is a function[1]. It draws 45 Wikipedia views per month (function category, ranking #54 of 114).[2]

Key Facts

  • Lerch transcendent's instance of is recorded as function[3].
  • Lerch transcendent's instance of is recorded as special function[4].
  • Adolf Hurwitz is named after Lerch transcendent[5].
  • Mathias Lerch is named after Lerch transcendent[6].
  • Lerch transcendent's Freebase ID is recorded as /m/04v7tx[7].
  • Lerch transcendent's defining formula is recorded as \Phi(z,\alpha,s)=\sum_{n=0}^\infty\frac{z^n}{(n+\alpha)^s}[8].
  • Lerch transcendent's MathWorld ID is recorded as LerchTranscendent[9].
  • Lerch transcendent's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • Lerch transcendent's Microsoft Academic ID is recorded as 2781367352[11].
  • Lerch transcendent's ProofWiki ID is recorded as Definition:Lerch_Transcendent[12].

Why It Matters

Lerch transcendent draws 45 Wikipedia views per month (function category, ranking #54 of 114).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[13] It is known by 14 alternative names across languages and contexts.[14]

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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [13] . Wikidata sitelinks. wikidata.org.
  3. [14] . 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). Lerch transcendent. Retrieved May 3, 2026, from https://4ort.xyz/entity/lerch-transcendent
MLA “Lerch transcendent.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/lerch-transcendent.
BibTeX @misc{4ortxyz_lerch-transcendent_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Lerch transcendent}}, year = {2026}, url = {https://4ort.xyz/entity/lerch-transcendent}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Lerch transcendent — https://4ort.xyz/entity/lerch-transcendent (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/lerch-transcendent · Last refreshed: