Duffin–Schaeffer theorem

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Duffin–Schaeffer theorem

Quality:

Duffin–Schaeffer theorem - theorem in metric number theory. Article "Duffin–Schaeffer theorem" in English Wikipedia has 28.8 points for quality (as of July 1, 2025). The article contains 13 references and 5 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Duffin–Schaeffer theorem", its content was written by 34 registered users of English Wikipedia and edited by 57 registered Wikipedia users in all languages.

The article is cited 12 times in English Wikipedia and cited 26 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #51108 in August 2019
  • Global: #55867 in July 2022

The highest popularity rank from 2008:

  • Local (English): #90510 in August 2019
  • Global: #170186 in August 2019

There are 6 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, 2025 (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
1English (en)
Duffin–Schaeffer theorem
28.7585
2French (fr)
Conjecture de Duffin-Schaeffer
26.6847
3Russian (ru)
Гипотеза Даффина — Шаффера
25.3332
4Swedish (sv)
Duffin–Schaeffers förmodan
13.0196
5Chinese (zh)
达芬-谢弗猜想
12.0003
6German (de)
Duffin-Schaeffer-Vermutung
4.4072
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 "Duffin–Schaeffer theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Duffin–Schaeffer theorem
104 060
2German (de)
Duffin-Schaeffer-Vermutung
2 927
3Russian (ru)
Гипотеза Даффина — Шаффера
2 691
4Chinese (zh)
达芬-谢弗猜想
2 539
5French (fr)
Conjecture de Duffin-Schaeffer
2 433
6Swedish (sv)
Duffin–Schaeffers förmodan
831
More...

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

Most popular in June 2025

The most popular language versions of the article "Duffin–Schaeffer theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Duffin–Schaeffer theorem
466
2Chinese (zh)
达芬-谢弗猜想
72
3French (fr)
Conjecture de Duffin-Schaeffer
44
4German (de)
Duffin-Schaeffer-Vermutung
33
5Russian (ru)
Гипотеза Даффина — Шаффера
15
6Swedish (sv)
Duffin–Schaeffers förmodan
6
More...

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

The highest AI

Language versions of the article "Duffin–Schaeffer theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Duffin–Schaeffer theorem
34
2German (de)
Duffin-Schaeffer-Vermutung
7
3French (fr)
Conjecture de Duffin-Schaeffer
6
4Swedish (sv)
Duffin–Schaeffers förmodan
5
5Russian (ru)
Гипотеза Даффина — Шаффера
3
6Chinese (zh)
达芬-谢弗猜想
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 2025

Language versions of the article "Duffin–Schaeffer theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Duffin-Schaeffer-Vermutung
0
2English (en)
Duffin–Schaeffer theorem
0
3French (fr)
Conjecture de Duffin-Schaeffer
0
4Russian (ru)
Гипотеза Даффина — Шаффера
0
5Swedish (sv)
Duffin–Schaeffers förmodan
0
6Chinese (zh)
达芬-谢弗猜想
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 "Duffin–Schaeffer theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Duffin–Schaeffer theorem
12
2French (fr)
Conjecture de Duffin-Schaeffer
6
3German (de)
Duffin-Schaeffer-Vermutung
3
4Russian (ru)
Гипотеза Даффина — Шаффера
2
5Swedish (sv)
Duffin–Schaeffers förmodan
2
6Chinese (zh)
达芬-谢弗猜想
1
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Duffin-Schaeffer-Vermutung
enEnglish
Duffin–Schaeffer theorem
frFrench
Conjecture de Duffin-Schaeffer
ruRussian
Гипотеза Даффина — Шаффера
svSwedish
Duffin–Schaeffers förmodan
zhChinese
达芬-谢弗猜想

Popularity rank trends

Best Rank English:
#90510
08.2019
Global:
#170186
08.2019

AI rank trends

Best Rank English:
#51108
08.2019
Global:
#55867
07.2022

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Duffin–Schaeffer theorem from Wikipedia articles about James Maynard, Dimitrios Koukoulopoulos, List of conjectures, Diophantine approximation and List of unsolved problems in mathematics. Whereas reading the article about Duffin–Schaeffer theorem people most often go to Wikipedia articles on Diophantine approximation, Dimitrios Koukoulopoulos, James Maynard, Eulers totient function and Borel–Cantelli lemma.

Cumulative results of quality and popularity of the Wikipedia article

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

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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 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information