Jacobi's four-square theorem

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Jacobi's four-square theorem

Quality:

Jacobi's four-square theorem - How many ways that a positive integer can be represented as the sum of 4 squares. Article "Jacobi's four-square theorem" in English Wikipedia has 19.7 points for quality (as of July 1, 2025). The article contains 4 references and 7 sections.

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

Since the creation of article "Jacobi's four-square theorem", its content was written by 24 registered users of English Wikipedia and edited by 65 registered Wikipedia users in all languages.

The article is cited 11 times in English Wikipedia and cited 36 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #122043 in June 2018
  • Global: #260244 in September 2006

The highest popularity rank from 2008:

  • Local (English): #729647 in July 2011
  • Global: #511589 in September 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
1Tamil (ta)
ஜேக்கோபியின் நான்கு இருமடியெண் தேற்றம்
29.1684
2German (de)
Satz von Jacobi (Zahlentheorie)
26.9988
3English (en)
Jacobi's four-square theorem
19.7057
4Japanese (ja)
ヤコビの四平方定理
8.8411
5Hebrew (he)
משפט ארבעת הריבועים של יעקובי
5.486
6French (fr)
Théorème de Jacobi
1.1107
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 "Jacobi's four-square theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Jacobi's four-square theorem
87 481
2Japanese (ja)
ヤコビの四平方定理
20 384
3German (de)
Satz von Jacobi (Zahlentheorie)
17 180
4French (fr)
Théorème de Jacobi
10 191
5Hebrew (he)
משפט ארבעת הריבועים של יעקובי
2 848
6Tamil (ta)
ஜேக்கோபியின் நான்கு இருமடியெண் தேற்றம்
147
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 "Jacobi's four-square theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Jacobi's four-square theorem
498
2Japanese (ja)
ヤコビの四平方定理
55
3German (de)
Satz von Jacobi (Zahlentheorie)
53
4French (fr)
Théorème de Jacobi
38
5Hebrew (he)
משפט ארבעת הריבועים של יעקובי
12
6Tamil (ta)
ஜேக்கோபியின் நான்கு இருமடியெண் தேற்றம்
5
More...

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

The highest AI

Language versions of the article "Jacobi's four-square theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Jacobi's four-square theorem
24
2German (de)
Satz von Jacobi (Zahlentheorie)
18
3French (fr)
Théorème de Jacobi
11
4Japanese (ja)
ヤコビの四平方定理
7
5Hebrew (he)
משפט ארבעת הריבועים של יעקובי
3
6Tamil (ta)
ஜேக்கோபியின் நான்கு இருமடியெண் தேற்றம்
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 "Jacobi's four-square theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Satz von Jacobi (Zahlentheorie)
0
2English (en)
Jacobi's four-square theorem
0
3French (fr)
Théorème de Jacobi
0
4Hebrew (he)
משפט ארבעת הריבועים של יעקובי
0
5Japanese (ja)
ヤコビの四平方定理
0
6Tamil (ta)
ஜேக்கோபியின் நான்கு இருமடியெண் தேற்றம்
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 "Jacobi's four-square theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Jacobi's four-square theorem
11
2German (de)
Satz von Jacobi (Zahlentheorie)
9
3French (fr)
Théorème de Jacobi
9
4Hebrew (he)
משפט ארבעת הריבועים של יעקובי
4
5Japanese (ja)
ヤコビの四平方定理
3
6Tamil (ta)
ஜேக்கோபியின் நான்கு இருமடியெண் தேற்றம்
0
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
Satz von Jacobi (Zahlentheorie)
enEnglish
Jacobi's four-square theorem
frFrench
Théorème de Jacobi
heHebrew
משפט ארבעת הריבועים של יעקובי
jaJapanese
ヤコビの四平方定理
taTamil
ஜேக்கோபியின் நான்கு இருமடியெண் தேற்றம்

Popularity rank trends

Best Rank English:
#729647
07.2011
Global:
#511589
09.2019

AI rank trends

Best Rank English:
#122043
06.2018
Global:
#260244
09.2006

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Jacobi's four-square theorem from Wikipedia articles about Lagranges four-square theorem, Sum of squares function, Sum of squares, Sums of powers and Jacobis theorem. Whereas reading the article about Jacobi's four-square theorem people most often go to Wikipedia articles on Jacobi triple product, Lagranges four-square theorem, Sum of squares function, Theta function and Carl Gustav Jacob Jacobi.

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