Quadratic reciprocity

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Quadratic reciprocity

Quality:

Quadratic reciprocity - theorem. Article "Quadratic reciprocity" in English Wikipedia has 55 points for quality (as of August 1, 2024). The article contains 39 references and 32 sections.

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

Since the creation of article "Quadratic reciprocity", its content was written by 135 registered users of English Wikipedia and edited by 544 registered Wikipedia users in all languages.

The article is cited 106 times in English Wikipedia and cited 972 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #3520 in October 2001
  • Global: #3712 in October 2001

The highest popularity rank from 2008:

  • Local (English): #113671 in January 2021
  • Global: #106749 in January 2008

There are 24 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
1German (de)
Quadratisches Reziprozitätsgesetz
94.6135
2English (en)
Quadratic reciprocity
55.0428
3Chinese (zh)
二次互反律
53.5798
4French (fr)
Loi de réciprocité quadratique
26.4696
5Hebrew (he)
משפט ההדדיות הריבועית
26.2257
6Belarusian (be)
Квадратычны закон узаемнасці
21.4923
7Dutch (nl)
Kwadratische reciprociteit
21.0097
8Korean (ko)
이차 상호 법칙
20.7901
9Russian (ru)
Квадратичный закон взаимности
18.3991
10Arabic (ar)
تقابل تربيعي
18.2908
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 "Quadratic reciprocity" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Quadratic reciprocity
921 669
2Japanese (ja)
平方剰余の相互法則
192 305
3German (de)
Quadratisches Reziprozitätsgesetz
146 342
4French (fr)
Loi de réciprocité quadratique
109 038
5Russian (ru)
Квадратичный закон взаимности
100 143
6Chinese (zh)
二次互反律
90 774
7Spanish (es)
Ley de reciprocidad cuadrática
78 965
8Italian (it)
Reciprocità quadratica
44 119
9Portuguese (pt)
Lei da reciprocidade quadrática
37 915
10Polish (pl)
Prawo wzajemności reszt kwadratowych
37 428
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 "Quadratic reciprocity" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Quadratic reciprocity
5 028
2Japanese (ja)
平方剰余の相互法則
896
3Chinese (zh)
二次互反律
655
4German (de)
Quadratisches Reziprozitätsgesetz
615
5Russian (ru)
Квадратичный закон взаимности
575
6French (fr)
Loi de réciprocité quadratique
396
7Spanish (es)
Ley de reciprocidad cuadrática
186
8Korean (ko)
이차 상호 법칙
144
9Vietnamese (vi)
Luật tương hỗ bậc hai
139
10Portuguese (pt)
Lei da reciprocidade quadrática
122
More...

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

The highest AI

Language versions of the article "Quadratic reciprocity" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Quadratic reciprocity
135
2German (de)
Quadratisches Reziprozitätsgesetz
61
3French (fr)
Loi de réciprocité quadratique
52
4Japanese (ja)
平方剰余の相互法則
43
5Hebrew (he)
משפט ההדדיות הריבועית
29
6Hungarian (hu)
Kvadratikus reciprocitás tétele
25
7Italian (it)
Reciprocità quadratica
24
8Russian (ru)
Квадратичный закон взаимности
24
9Chinese (zh)
二次互反律
21
10Finnish (fi)
Neliönjäännöslause
16
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 "Quadratic reciprocity" with the highest AI in July 2024
#LanguageAI awardRelative AI
1Japanese (ja)
平方剰余の相互法則
1
2Russian (ru)
Квадратичный закон взаимности
1
3Arabic (ar)
تقابل تربيعي
0
4Belarusian (be)
Квадратычны закон узаемнасці
0
5Catalan (ca)
Llei de reciprocitat quadràtica
0
6Danish (da)
Kvadratisk reciprocitet
0
7German (de)
Quadratisches Reziprozitätsgesetz
0
8English (en)
Quadratic reciprocity
0
9Spanish (es)
Ley de reciprocidad cuadrática
0
10Persian (fa)
قانون تقابل مربعی
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 "Quadratic reciprocity" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Reciprocità quadratica
232
2French (fr)
Loi de réciprocité quadratique
114
3English (en)
Quadratic reciprocity
106
4Portuguese (pt)
Lei da reciprocidade quadrática
78
5Japanese (ja)
平方剰余の相互法則
75
6German (de)
Quadratisches Reziprozitätsgesetz
46
7Russian (ru)
Квадратичный закон взаимности
41
8Catalan (ca)
Llei de reciprocitat quadràtica
35
9Spanish (es)
Ley de reciprocidad cuadrática
31
10Chinese (zh)
二次互反律
31
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
arArabic
تقابل تربيعي
beBelarusian
Квадратычны закон узаемнасці
caCatalan
Llei de reciprocitat quadràtica
daDanish
Kvadratisk reciprocitet
deGerman
Quadratisches Reziprozitätsgesetz
enEnglish
Quadratic reciprocity
esSpanish
Ley de reciprocidad cuadrática
faPersian
قانون تقابل مربعی
fiFinnish
Neliönjäännöslause
frFrench
Loi de réciprocité quadratique
heHebrew
משפט ההדדיות הריבועית
huHungarian
Kvadratikus reciprocitás tétele
itItalian
Reciprocità quadratica
jaJapanese
平方剰余の相互法則
koKorean
이차 상호 법칙
nlDutch
Kwadratische reciprociteit
plPolish
Prawo wzajemności reszt kwadratowych
ptPortuguese
Lei da reciprocidade quadrática
ruRussian
Квадратичный закон взаимности
svSwedish
Kvadratiska reciprocitetssatsen
taTamil
இருபடிய நேர் எதிர்மை
ukUkrainian
Квадратичний закон взаємності
viVietnamese
Luật tương hỗ bậc hai
zhChinese
二次互反律

Popularity rank trends

Best Rank English:
#113671
01.2021
Global:
#106749
01.2008

AI rank trends

Best Rank English:
#3520
10.2001
Global:
#3712
10.2001

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Quadratic reciprocity from Wikipedia articles about Carl Friedrich Gauss, Quadratic residue, Legendre symbol, Number theory and Mathematical beauty. Whereas reading the article about Quadratic reciprocity people most often go to Wikipedia articles on Legendre symbol, Proofs of quadratic reciprocity, Eulers criterion, Artin reciprocity law and Quadratic residue.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 8 July 2025

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In English Wikipedia the most popular articles on that day were: Superman (2025 film), João Pedro (footballer, born 2001), Untitled Jurassic World film, Aryna Sabalenka, Laura Siegemund, Ozzy Osbourne, Amanda Anisimova, Jeffrey Epstein, Cameron Norrie, Deaths in 2025.

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