Cubic reciprocity

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Cubic reciprocity

Quality:

Cubic reciprocity - conditions under which the congruence x3 equals p (mod q) is solvable. Article “Cubic reciprocity” in English Wikipedia has 51.2 points for quality (as of July 1, 2025). The article contains 43 references and 17 sections.

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

Since the creation of article “Cubic reciprocity”, its content was written by 35 registered users of English Wikipedia and edited by 80 registered Wikipedia users in all languages.

The article is cited 23 times in English Wikipedia and cited 63 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #111322 in February 2010
  • Global: #103207 in September 2008

The highest popularity rank from 2008:

  • Local (English): #554641 in October 2014
  • Global: #821088 in October 2014

There are 7 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)
Cubic reciprocity
51.1592
2Japanese (ja)
3乗剰余の相互法則
33.268
3Swedish (sv)
Kubisk reciprocitet
29.4349
4Chinese (zh)
三次互反律
9.4533
5Russian (ru)
Характер кубического вычета
4.6405
6Dutch (nl)
Kubische reciprociteit
3.9714
7French (fr)
Réciprocité cubique
3.7579
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 "Cubic reciprocity" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Cubic reciprocity
145 693
2Chinese (zh)
三次互反律
11 899
3Russian (ru)
Характер кубического вычета
10 633
4Japanese (ja)
3乗剰余の相互法則
9 616
5French (fr)
Réciprocité cubique
8 243
6Dutch (nl)
Kubische reciprociteit
3 905
7Swedish (sv)
Kubisk reciprocitet
888
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 "Cubic reciprocity" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Cubic reciprocity
804
2Japanese (ja)
3乗剰余の相互法則
203
3Chinese (zh)
三次互反律
44
4Russian (ru)
Характер кубического вычета
39
5Dutch (nl)
Kubische reciprociteit
36
6French (fr)
Réciprocité cubique
30
7Swedish (sv)
Kubisk reciprocitet
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 "Cubic reciprocity" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Cubic reciprocity
35
2French (fr)
Réciprocité cubique
14
3Japanese (ja)
3乗剰余の相互法則
9
4Dutch (nl)
Kubische reciprociteit
7
5Russian (ru)
Характер кубического вычета
7
6Chinese (zh)
三次互反律
5
7Swedish (sv)
Kubisk reciprocitet
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 June 2025

Language versions of the article "Cubic reciprocity" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Dutch (nl)
Kubische reciprociteit
1
2English (en)
Cubic reciprocity
0
3French (fr)
Réciprocité cubique
0
4Japanese (ja)
3乗剰余の相互法則
0
5Russian (ru)
Характер кубического вычета
0
6Swedish (sv)
Kubisk reciprocitet
0
7Chinese (zh)
三次互反律
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 "Cubic reciprocity" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Cubic reciprocity
23
2Russian (ru)
Характер кубического вычета
12
3Japanese (ja)
3乗剰余の相互法則
7
4Chinese (zh)
三次互反律
7
5Swedish (sv)
Kubisk reciprocitet
6
6French (fr)
Réciprocité cubique
5
7Dutch (nl)
Kubische reciprociteit
3
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
Cubic reciprocity
frFrench
Réciprocité cubique
jaJapanese
3乗剰余の相互法則
nlDutch
Kubische reciprociteit
ruRussian
Характер кубического вычета
svSwedish
Kubisk reciprocitet
zhChinese
三次互反律

Popularity rank trends

Best Rank English:
#554641
10.2014
Global:
#821088
10.2014

AI rank trends

Best Rank English:
#111322
02.2010
Global:
#103207
09.2008

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Cubic reciprocity from Wikipedia articles about Quadratic reciprocity, Eisenstein integer, Gauss sum, Reciprocity law and Quartic reciprocity. Whereas reading the article about Cubic reciprocity people most often go to Wikipedia articles on Eisenstein integer, Quartic reciprocity, Carmichael function, Eisenstein reciprocity and Octic reciprocity.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 10 March 2026

On 10 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Iran, Mojtaba Khamenei, Enhypen, Ali Khamenei, Strait of Hormuz, Jeffrey Epstein, 2026 Iran war, 2026 World Baseball Classic, Donald Trump, World Baseball Classic.

In English Wikipedia the most popular articles on that day were: 2026 Iran war, Mojtaba Khamenei, Deaths in 2026, Ali Khamenei, War Machine (upcoming film), Enhypen, Jennifer Runyon, Pete Hegseth, 2026 World Baseball Classic, Iran.

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