Thue–Siegel–Roth theorem

theorem that algebraic numbers do not have unusually accurate rational approximations
Intangible theorem Q751120
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Thue–Siegel–Roth theorem

Summary

Thue–Siegel–Roth theorem is a theorem[1]. It draws 62 Wikipedia views per month (theorem category, ranking #215 of 1,306).[2]

Key Facts

  • Thue–Siegel–Roth theorem's instance of is recorded as theorem[3].
  • Axel Thue is named after Thue–Siegel–Roth theorem[4].
  • Carl Ludwig Siegel is named after Thue–Siegel–Roth theorem[5].
  • Klaus Roth is named after Thue–Siegel–Roth theorem[6].
  • Thue–Siegel–Roth theorem's part of is recorded as list of theorems[7].
  • Thue–Siegel–Roth theorem's Freebase ID is recorded as /m/03c7rz[8].
  • Thue–Siegel–Roth theorem's defining formula is recorded as \left|\alpha - \frac{p}{q}\right| < \frac{1}{q^{2 + \varepsilon}}<sup id="cite-C22" class="cite-ref" title="Thue–Siegel–Roth theorem — defining formula (P2534): \left|\alpha - \frac{p}{q}\right| < \frac{1}{q^{2 + \varepsilon}}">[9].
  • Thue–Siegel–Roth theorem's studied by is recorded as diophantine approximation[10].
  • Thue–Siegel–Roth theorem's MathWorld ID is recorded as RothsTheorem[11].
  • Thue–Siegel–Roth theorem's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • Thue–Siegel–Roth theorem's Microsoft Academic ID is recorded as 94106514[13].

Why It Matters

Thue–Siegel–Roth theorem draws 62 Wikipedia views per month (theorem category, ranking #215 of 1,306).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[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] . wikidata.org.
  6. [8] . Freebase Data Dumps. wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . 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). Thue–Siegel–Roth theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/thue-siegel-roth-theorem
MLA “Thue–Siegel–Roth theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/thue-siegel-roth-theorem.
BibTeX @misc{4ortxyz_thue-siegel-roth-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Thue–Siegel–Roth theorem}}, year = {2026}, url = {https://4ort.xyz/entity/thue-siegel-roth-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Thue–Siegel–Roth theorem — https://4ort.xyz/entity/thue-siegel-roth-theorem (retrieved 2026-05-03)

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