Roth's theorem on arithmetic progressions

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Roth's theorem on arithmetic progressions

Quality:

Roth's theorem on arithmetic progressions - On the existence of arithmetic progressions in subsets of the natural numbers. Article “Roth's theorem on arithmetic progressions” in English Wikipedia has 43.8 points for quality (as of July 1, 2026). The article contains 37 references and 11 sections.

This article has the best quality in Ukrainian Wikipedia. However, this article is the most popular in English version.

In June 2026 the article “Roth's theorem on arithmetic progressions” was edited by 1 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article “Roth's theorem on arithmetic progressions”, its content was written by 27 registered users of English Wikipedia and edited by 39 registered Wikipedia users in all languages.

The article is cited 11 times in English Wikipedia and cited 25 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #17825 in December 2019
  • Global: #47933 in December 2019

The highest popularity rank from 2008:

  • Local (English): #1090264 in September 2024
  • Global: #1739644 in September 2024

There are 4 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2026 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Ukrainian (uk)
Теорема Рота
46.0232
2English (en)
Roth's theorem on arithmetic progressions
43.7904
3Russian (ru)
Теорема Рота
38.5109
4German (de)
Satz von Roth
18.7791
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Roth's theorem on arithmetic progressions" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Roth's theorem on arithmetic progressions
26 938
2Russian (ru)
Теорема Рота
4 931
3German (de)
Satz von Roth
1 698
4Ukrainian (uk)
Теорема Рота
170
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2026

The most popular language versions of the article "Roth's theorem on arithmetic progressions" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Roth's theorem on arithmetic progressions
294
2Russian (ru)
Теорема Рота
20
3German (de)
Satz von Roth
5
4Ukrainian (uk)
Теорема Рота
3
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Roth's theorem on arithmetic progressions" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Roth's theorem on arithmetic progressions
27
2Russian (ru)
Теорема Рота
6
3German (de)
Satz von Roth
4
4Ukrainian (uk)
Теорема Рота
2
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2026

Language versions of the article "Roth's theorem on arithmetic progressions" with the highest AI in June 2026
#LanguageAI awardRelative AI
1English (en)
Roth's theorem on arithmetic progressions
1
2Russian (ru)
Теорема Рота
1
3German (de)
Satz von Roth
0
4Ukrainian (uk)
Теорема Рота
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Roth's theorem on arithmetic progressions" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Roth's theorem on arithmetic progressions
11
2Russian (ru)
Теорема Рота
7
3Ukrainian (uk)
Теорема Рота
5
4German (de)
Satz von Roth
2
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Satz von Roth
enEnglish
Roth's theorem on arithmetic progressions
ruRussian
Теорема Рота
ukUkrainian
Теорема Рота

Popularity rank trends

Best Rank English:
#1090264
09.2024
Global:
#1739644
09.2024

AI rank trends

Best Rank English:
#17825
12.2019
Global:
#47933
12.2019

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Roth's theorem on arithmetic progressions from Wikipedia articles about Thue–Siegel–Roth theorem, Szemerédis theorem, Erdős conjecture on arithmetic progressions, Szemerédi regularity lemma and Klaus Roth. Whereas reading the article about Roth's theorem on arithmetic progressions people most often go to Wikipedia articles on Szemerédis theorem, Klaus Roth, Van der Waerdens theorem, Thue–Siegel–Roth theorem and Szemerédi regularity lemma.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information