J-invariant

Quality:

J-invariant - modular function of weight zero defined on the upper half-plane of complex numbers. Article "J-invariant" in English Wikipedia has 48.5 points for quality (as of August 1, 2024). The article contains 13 references and 15 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 "J-invariant", its content was written by 96 registered users of English Wikipedia and edited by 198 registered Wikipedia users in all languages.

The article is cited 109 times in English Wikipedia and cited 279 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #4065 in November 2019
  • Global: #21478 in November 2019

The highest popularity rank from 2008:

  • Local (English): #219271 in May 2015
  • Global: #340929 in May 2015

There are 13 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 August 1, 2024 (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)
J-invariant
48.4722
2Catalan (ca)
J-invariant
41.0167
3Italian (it)
Invariante j
29.0612
4Ukrainian (uk)
J-інваріант
25.0607
5Japanese (ja)
J-不変量
19.5895
6Portuguese (pt)
J-invariante
14.7846
7German (de)
J-Funktion
14.2335
8Swedish (sv)
J-invarianten
11.7781
9Korean (ko)
J-불변량
9.4317
10Polish (pl)
Niezmiennik j
5.8586
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 "J-invariant" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
J-invariant
442 814
2German (de)
J-Funktion
34 274
3Japanese (ja)
J-不変量
32 023
4French (fr)
J-invariant
11 485
5Korean (ko)
J-불변량
8 061
6Polish (pl)
Niezmiennik j
6 937
7Dutch (nl)
J-invariant
2 709
8Spanish (es)
J-invariante
2 694
9Portuguese (pt)
J-invariante
2 187
10Ukrainian (uk)
J-інваріант
1 070
More...

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

Most popular in July 2024

The most popular language versions of the article "J-invariant" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
J-invariant
2 990
2Japanese (ja)
J-不変量
280
3German (de)
J-Funktion
182
4French (fr)
J-invariant
125
5Korean (ko)
J-불변량
54
6Spanish (es)
J-invariante
35
7Italian (it)
Invariante j
34
8Polish (pl)
Niezmiennik j
12
9Portuguese (pt)
J-invariante
11
10Dutch (nl)
J-invariant
9
More...

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

The highest AI

Language versions of the article "J-invariant" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
J-invariant
96
2German (de)
J-Funktion
32
3Japanese (ja)
J-不変量
18
4Polish (pl)
Niezmiennik j
12
5Italian (it)
Invariante j
7
6Ukrainian (uk)
J-інваріант
7
7French (fr)
J-invariant
6
8Dutch (nl)
J-invariant
6
9Swedish (sv)
J-invarianten
4
10Catalan (ca)
J-invariant
3
More...

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

The highest AI in July 2024

Language versions of the article "J-invariant" with the highest AI in July 2024
#LanguageAI awardRelative AI
1Catalan (ca)
J-invariant
0
2German (de)
J-Funktion
0
3English (en)
J-invariant
0
4Spanish (es)
J-invariante
0
5French (fr)
J-invariant
0
6Italian (it)
Invariante j
0
7Japanese (ja)
J-不変量
0
8Korean (ko)
J-불변량
0
9Dutch (nl)
J-invariant
0
10Polish (pl)
Niezmiennik j
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 "J-invariant" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
J-invariant
109
2Japanese (ja)
J-不変量
36
3French (fr)
J-invariant
27
4German (de)
J-Funktion
23
5Korean (ko)
J-불변량
19
6Spanish (es)
J-invariante
18
7Ukrainian (uk)
J-інваріант
14
8Catalan (ca)
J-invariant
9
9Dutch (nl)
J-invariant
7
10Portuguese (pt)
J-invariante
7
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in July 2024:
English:
Global:
Popularity in all years:
English:
Global:
Authors in July 2024:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
J-invariant
deGerman
J-Funktion
enEnglish
J-invariant
esSpanish
J-invariante
frFrench
J-invariant
itItalian
Invariante j
jaJapanese
J-不変量
koKorean
J-불변량
nlDutch
J-invariant
plPolish
Niezmiennik j
ptPortuguese
J-invariante
svSwedish
J-invarianten
ukUkrainian
J-інваріант

Popularity rank trends

Best Rank English:
#219271
05.2015
Global:
#340929
05.2015

AI rank trends

Best Rank English:
#4065
11.2019
Global:
#21478
11.2019

Local AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on J-invariant from Wikipedia articles about Monstrous moonshine, J-function, Chudnovsky algorithm, Heegner number and String theory. Whereas reading the article about J-invariant people most often go to Wikipedia articles on Modular form, Monstrous moonshine, Weierstrasss elliptic functions, Elliptic curve and Monster group.

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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information