Diophantine approximation

en

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Diophantine approximation

Quality:

Diophantine approximation - approximating real numbers with rational numbers. Article "Diophantine approximation" in English Wikipedia has 38.4 points for quality (as of July 1, 2025). The article contains 23 references and 23 sections. The article also contains quality flaw template, which reduce quality score.

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 "Diophantine approximation", its content was written by 95 registered users of English Wikipedia and edited by 310 registered Wikipedia users in all languages.

The article is cited 176 times in English Wikipedia and cited 755 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #21507 in February 2004
  • Global: #43863 in September 2003

The highest popularity rank from 2008:

  • Local (English): #206265 in July 2022
  • Global: #232083 in December 2008

There are 22 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)
Diophantine approximation
38.354
2Russian (ru)
Теория диофантовых приближений
37.5141
3Galician (gl)
Aproximación diofantiana
34.4241
4Simple English (simple)
Diophantine approximation
22.7524
5Chinese (zh)
丟番圖逼近
21.1084
6Spanish (es)
Aproximación diofántica
20.7284
7Ukrainian (uk)
Діофантова апроксимація
11.5866
8German (de)
Diophantische Approximation
11.4369
9French (fr)
Approximation diophantienne
10.2302
10Japanese (ja)
ディオファントス近似
9.6281
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 "Diophantine approximation" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Diophantine approximation
489 414
2Japanese (ja)
ディオファントス近似
89 750
3Russian (ru)
Теория диофантовых приближений
67 989
4Chinese (zh)
丟番圖逼近
50 125
5German (de)
Diophantische Approximation
41 413
6French (fr)
Approximation diophantienne
39 319
7Polish (pl)
Aproksymacja diofantyczna
28 625
8Spanish (es)
Aproximación diofántica
18 828
9Italian (it)
Approssimazione diofantea
17 040
10Hebrew (he)
קירוב דיופנטי
15 966
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 "Diophantine approximation" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Diophantine approximation
3 242
2Japanese (ja)
ディオファントス近似
550
3Chinese (zh)
丟番圖逼近
327
4Russian (ru)
Теория диофантовых приближений
302
5French (fr)
Approximation diophantienne
257
6German (de)
Diophantische Approximation
122
7Hebrew (he)
קירוב דיופנטי
59
8Spanish (es)
Aproximación diofántica
56
9Italian (it)
Approssimazione diofantea
55
10Korean (ko)
디오판토스 근사
29
More...

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

The highest AI

Language versions of the article "Diophantine approximation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Diophantine approximation
95
2French (fr)
Approximation diophantienne
33
3German (de)
Diophantische Approximation
24
4Japanese (ja)
ディオファントス近似
21
5Italian (it)
Approssimazione diofantea
17
6Chinese (zh)
丟番圖逼近
15
7Hebrew (he)
קירוב דיופנטי
14
8Vietnamese (vi)
Xấp xỉ Diophantos
14
9Russian (ru)
Теория диофантовых приближений
11
10Polish (pl)
Aproksymacja diofantyczna
10
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 "Diophantine approximation" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Polish (pl)
Aproksymacja diofantyczna
1
2German (de)
Diophantische Approximation
0
3English (en)
Diophantine approximation
0
4Spanish (es)
Aproximación diofántica
0
5French (fr)
Approximation diophantienne
0
6Galician (gl)
Aproximación diofantiana
0
7Hebrew (he)
קירוב דיופנטי
0
8Italian (it)
Approssimazione diofantea
0
9Japanese (ja)
ディオファントス近似
0
10Korean (ko)
디오판토스 근사
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 "Diophantine approximation" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Diophantine approximation
176
2Portuguese (pt)
Aproximação diofantina
78
3French (fr)
Approximation diophantienne
70
4Japanese (ja)
ディオファントス近似
52
5German (de)
Diophantische Approximation
46
6Russian (ru)
Теория диофантовых приближений
42
7Chinese (zh)
丟番圖逼近
39
8Spanish (es)
Aproximación diofántica
36
9Vietnamese (vi)
Xấp xỉ Diophantos
33
10Hebrew (he)
קירוב דיופנטי
27
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
Diophantische Approximation
enEnglish
Diophantine approximation
esSpanish
Aproximación diofántica
frFrench
Approximation diophantienne
glGalician
Aproximación diofantiana
heHebrew
קירוב דיופנטי
itItalian
Approssimazione diofantea
jaJapanese
ディオファントス近似
koKorean
디오판토스 근사
nlDutch
Diofantische benadering
noNorwegian
Diofantiske approksimasjoner
plPolish
Aproksymacja diofantyczna
ptPortuguese
Aproximação diofantina
roRomanian
Aproximație diofantică
ruRussian
Теория диофантовых приближений
simpleSimple English
Diophantine approximation
slSlovenian
Teorija diofantskih približkov
svSwedish
Diofantisk approximation
taTamil
டையோபன்டைன் அண்ணளவாக்கம்
ukUkrainian
Діофантова апроксимація
viVietnamese
Xấp xỉ Diophantos
zhChinese
丟番圖逼近

Popularity rank trends

Best Rank English:
#206265
07.2022
Global:
#232083
12.2008

AI rank trends

Best Rank English:
#21507
02.2004
Global:
#43863
09.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Diophantine approximation from Wikipedia articles about Dense set, Fields medal, Proof that 22/7 exceeds π, Number theory and Rational approximation. Whereas reading the article about Diophantine approximation people most often go to Wikipedia articles on Diophantus of Alexandria, Continued fraction, Dirichlets approximation theorem, Generalized continued fraction and James Maynard.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

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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