Main conjecture of Iwasawa theory

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Main conjecture of Iwasawa theory

Quality:

Main conjecture of Iwasawa theory - theorem establishing a deep relationship between p-adic L-functions and ideal class groups of cyclotomic fields. Article "Main conjecture of Iwasawa theory" in English Wikipedia has 16.1 points for quality (as of July 1, 2025). The article contains 5 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 "Main conjecture of Iwasawa theory", its content was written by 24 registered users of English Wikipedia and edited by 38 registered Wikipedia users in all languages.

The article is cited 45 times in English Wikipedia and cited 81 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #57540 in December 2003
  • Global: #80420 in December 2003

The highest popularity rank from 2008:

  • Local (English): #631599 in March 2016
  • Global: #669099 in May 2020

There are 4 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)
Main conjecture of Iwasawa theory
16.133
2French (fr)
Conjecture principale de la théorie d'Iwasawa
12.5832
3Japanese (ja)
岩澤理論の主予想
5.0592
4Swedish (sv)
Huvudförmodan inom Iwasawateori
4.0125
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 "Main conjecture of Iwasawa theory" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Main conjecture of Iwasawa theory
87 493
2Japanese (ja)
岩澤理論の主予想
67 015
3Swedish (sv)
Huvudförmodan inom Iwasawateori
518
4French (fr)
Conjecture principale de la théorie d'Iwasawa
256
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 "Main conjecture of Iwasawa theory" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Main conjecture of Iwasawa theory
714
2Japanese (ja)
岩澤理論の主予想
399
3French (fr)
Conjecture principale de la théorie d'Iwasawa
22
4Swedish (sv)
Huvudförmodan inom Iwasawateori
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 "Main conjecture of Iwasawa theory" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Main conjecture of Iwasawa theory
24
2Japanese (ja)
岩澤理論の主予想
8
3French (fr)
Conjecture principale de la théorie d'Iwasawa
4
4Swedish (sv)
Huvudförmodan inom Iwasawateori
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 "Main conjecture of Iwasawa theory" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Main conjecture of Iwasawa theory
0
2French (fr)
Conjecture principale de la théorie d'Iwasawa
0
3Japanese (ja)
岩澤理論の主予想
0
4Swedish (sv)
Huvudförmodan inom Iwasawateori
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 "Main conjecture of Iwasawa theory" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Main conjecture of Iwasawa theory
45
2Swedish (sv)
Huvudförmodan inom Iwasawateori
22
3Japanese (ja)
岩澤理論の主予想
10
4French (fr)
Conjecture principale de la théorie d'Iwasawa
4
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
enEnglish
Main conjecture of Iwasawa theory
frFrench
Conjecture principale de la théorie d'Iwasawa
jaJapanese
岩澤理論の主予想
svSwedish
Huvudförmodan inom Iwasawateori

Popularity rank trends

Best Rank English:
#631599
03.2016
Global:
#669099
05.2020

AI rank trends

Best Rank English:
#57540
12.2003
Global:
#80420
12.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Main conjecture of Iwasawa theory from Wikipedia articles about Andrew Wiles, Fermats Last Theorem, Iwasawa theory, Birch and Swinnerton-Dyer conjecture and Euler system. Whereas reading the article about Main conjecture of Iwasawa theory people most often go to Wikipedia articles on Iwasawa theory, Kenkichi Iwasawa, P-adic L-function, Barry Mazur and Herbrand–Ribet 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