Dirichlet's approximation theorem

en

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Dirichlet's approximation theorem

Quality:

Dirichlet's approximation theorem - theorem. Article "Dirichlet's approximation theorem" in English Wikipedia has 25.4 points for quality (as of July 1, 2025). The article contains 7 references and 10 sections.

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

In June 2025 the article "Dirichlet's approximation theorem" was edited by 2 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article "Dirichlet's approximation theorem", its content was written by 43 registered users of English Wikipedia and edited by 120 registered Wikipedia users in all languages.

The article is cited 29 times in English Wikipedia and cited 94 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #93583 in October 2005
  • Global: #143863 in May 2011

The highest popularity rank from 2008:

  • Local (English): #412944 in August 2024
  • Global: #601699 in August 2024

There are 11 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)
Dirichlet's approximation theorem
25.4128
2Croatian (hr)
Dirichletov aproksimacijski teorem
24.1408
3French (fr)
Théorème d'approximation de Dirichlet
18.4053
4Russian (ru)
Теорема Дирихле о диофантовых приближениях
16.1525
5Spanish (es)
Teorema de aproximación de Dirichlet
3.0405
6Polish (pl)
Twierdzenie Dirichleta o aproksymacji
2.783
7Chinese (zh)
狄利克雷逼近定理
2.3178
8Japanese (ja)
ディリクレのディオファントス近似定理
1.639
9Dutch (nl)
Benaderingsstelling van Dirichlet
1.6171
10German (de)
Dirichletscher Approximationssatz
1.5557
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 "Dirichlet's approximation theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Dirichlet's approximation theorem
199 770
2Japanese (ja)
ディリクレのディオファントス近似定理
30 017
3German (de)
Dirichletscher Approximationssatz
29 857
4Russian (ru)
Теорема Дирихле о диофантовых приближениях
25 512
5Polish (pl)
Twierdzenie Dirichleta o aproksymacji
16 760
6French (fr)
Théorème d'approximation de Dirichlet
16 570
7Czech (cs)
Dirichletova věta o aproximaci
4 541
8Spanish (es)
Teorema de aproximación de Dirichlet
4 315
9Dutch (nl)
Benaderingsstelling van Dirichlet
2 729
10Chinese (zh)
狄利克雷逼近定理
1 678
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 "Dirichlet's approximation theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Dirichlet's approximation theorem
1 625
2Japanese (ja)
ディリクレのディオファントス近似定理
165
3Russian (ru)
Теорема Дирихле о диофантовых приближениях
146
4French (fr)
Théorème d'approximation de Dirichlet
123
5German (de)
Dirichletscher Approximationssatz
91
6Chinese (zh)
狄利克雷逼近定理
36
7Czech (cs)
Dirichletova věta o aproximaci
24
8Spanish (es)
Teorema de aproximación de Dirichlet
24
9Polish (pl)
Twierdzenie Dirichleta o aproksymacji
18
10Dutch (nl)
Benaderingsstelling van Dirichlet
12
More...

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

The highest AI

Language versions of the article "Dirichlet's approximation theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Dirichlet's approximation theorem
43
2German (de)
Dirichletscher Approximationssatz
15
3Japanese (ja)
ディリクレのディオファントス近似定理
15
4Russian (ru)
Теорема Дирихле о диофантовых приближениях
15
5French (fr)
Théorème d'approximation de Dirichlet
9
6Polish (pl)
Twierdzenie Dirichleta o aproksymacji
9
7Dutch (nl)
Benaderingsstelling van Dirichlet
8
8Czech (cs)
Dirichletova věta o aproximaci
2
9Chinese (zh)
狄利克雷逼近定理
2
10Spanish (es)
Teorema de aproximación de Dirichlet
1
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 "Dirichlet's approximation theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Dirichlet's approximation theorem
2
2German (de)
Dirichletscher Approximationssatz
1
3Czech (cs)
Dirichletova věta o aproximaci
0
4Spanish (es)
Teorema de aproximación de Dirichlet
0
5French (fr)
Théorème d'approximation de Dirichlet
0
6Croatian (hr)
Dirichletov aproksimacijski teorem
0
7Japanese (ja)
ディリクレのディオファントス近似定理
0
8Dutch (nl)
Benaderingsstelling van Dirichlet
0
9Polish (pl)
Twierdzenie Dirichleta o aproksymacji
0
10Russian (ru)
Теорема Дирихле о диофантовых приближениях
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 "Dirichlet's approximation theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Dirichlet's approximation theorem
29
2French (fr)
Théorème d'approximation de Dirichlet
16
3German (de)
Dirichletscher Approximationssatz
14
4Japanese (ja)
ディリクレのディオファントス近似定理
10
5Spanish (es)
Teorema de aproximación de Dirichlet
7
6Russian (ru)
Теорема Дирихле о диофантовых приближениях
7
7Polish (pl)
Twierdzenie Dirichleta o aproksymacji
4
8Croatian (hr)
Dirichletov aproksimacijski teorem
2
9Dutch (nl)
Benaderingsstelling van Dirichlet
2
10Chinese (zh)
狄利克雷逼近定理
2
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
csCzech
Dirichletova věta o aproximaci
deGerman
Dirichletscher Approximationssatz
enEnglish
Dirichlet's approximation theorem
esSpanish
Teorema de aproximación de Dirichlet
frFrench
Théorème d'approximation de Dirichlet
hrCroatian
Dirichletov aproksimacijski teorem
jaJapanese
ディリクレのディオファントス近似定理
nlDutch
Benaderingsstelling van Dirichlet
plPolish
Twierdzenie Dirichleta o aproksymacji
ruRussian
Теорема Дирихле о диофантовых приближениях
zhChinese
狄利克雷逼近定理

Popularity rank trends

Best Rank English:
#412944
08.2024
Global:
#601699
08.2024

AI rank trends

Best Rank English:
#93583
10.2005
Global:
#143863
05.2011

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Dirichlet's approximation theorem from Wikipedia articles about Dirichlets theorem, Diophantine approximation, Kroneckers theorem, Hurwitzs theorem and Dirichlets theorem on arithmetic progressions. Whereas reading the article about Dirichlet's approximation theorem people most often go to Wikipedia articles on Thue–Siegel–Roth theorem, Diophantine approximation, Irrationality measure, Minkowskis theorem and Kroneckers theorem.

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