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 July 1, 2025). 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.

In June 2025 the article "Quadratic reciprocity" was edited by 2 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article "Quadratic reciprocity", its content was written by 142 registered users of English Wikipedia and edited by 574 registered Wikipedia users in all languages.

The article is cited 107 times in English Wikipedia and cited 930 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #3555 in October 2001
  • Global: #3747 in October 2001

The highest popularity rank from 2008:

  • Local (English): #114017 in January 2021
  • Global: #83731 in January 2025

There are 25 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
1German (de)
Quadratisches Reziprozitätsgesetz
94.3903
2English (en)
Quadratic reciprocity
54.9731
3Chinese (zh)
二次互反律
53.4121
4Tamil (ta)
இருபடிய நேர் எதிர்மை
30.3858
5French (fr)
Loi de réciprocité quadratique
26.3705
6Hebrew (he)
משפט ההדדיות הריבועית
25.9711
7Belarusian (be)
Квадратычны закон узаемнасці
20.9942
8Korean (ko)
이차 상호 법칙
20.8328
9Russian (ru)
Квадратичный закон взаимности
18.3577
10Arabic (ar)
تقابل تربيعي
18.1995
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
975 417
2Japanese (ja)
平方剰余の相互法則
199 741
3German (de)
Quadratisches Reziprozitätsgesetz
170 160
4French (fr)
Loi de réciprocité quadratique
114 817
5Russian (ru)
Квадратичный закон взаимности
106 665
6Chinese (zh)
二次互反律
97 749
7Spanish (es)
Ley de reciprocidad cuadrática
81 458
8Italian (it)
Reciprocità quadratica
45 428
9Portuguese (pt)
Lei da reciprocidade quadrática
39 140
10Polish (pl)
Prawo wzajemności reszt kwadratowych
38 416
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 "Quadratic reciprocity" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Quadratic reciprocity
4 272
2Japanese (ja)
平方剰余の相互法則
785
3Chinese (zh)
二次互反律
568
4German (de)
Quadratisches Reziprozitätsgesetz
517
5French (fr)
Loi de réciprocité quadratique
454
6Russian (ru)
Квадратичный закон взаимности
382
7Spanish (es)
Ley de reciprocidad cuadrática
165
8Vietnamese (vi)
Luật tương hỗ bậc hai
127
9Korean (ko)
이차 상호 법칙
106
10Portuguese (pt)
Lei da reciprocidade quadrática
99
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
142
2German (de)
Quadratisches Reziprozitätsgesetz
71
3French (fr)
Loi de réciprocité quadratique
55
4Japanese (ja)
平方剰余の相互法則
43
5Hebrew (he)
משפט ההדדיות הריבועית
29
6Hungarian (hu)
Kvadratikus reciprocitás tétele
26
7Italian (it)
Reciprocità quadratica
24
8Russian (ru)
Квадратичный закон взаимности
24
9Chinese (zh)
二次互反律
22
10Vietnamese (vi)
Luật tương hỗ bậc hai
17
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 "Quadratic reciprocity" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Quadratic reciprocity
2
2Arabic (ar)
تقابل تربيعي
0
3Belarusian (be)
Квадратычны закон узаемнасці
0
4Catalan (ca)
Llei de reciprocitat quadràtica
0
5Danish (da)
Kvadratisk reciprocitet
0
6German (de)
Quadratisches Reziprozitätsgesetz
0
7Spanish (es)
Ley de reciprocidad cuadrática
0
8Persian (fa)
قانون تقابل مربعی
0
9Finnish (fi)
Neliönjäännöslause
0
10French (fr)
Loi de réciprocité quadratique
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
237
2French (fr)
Loi de réciprocité quadratique
114
3English (en)
Quadratic reciprocity
107
4Japanese (ja)
平方剰余の相互法則
75
5German (de)
Quadratisches Reziprozitätsgesetz
47
6Russian (ru)
Квадратичный закон взаимности
41
7Catalan (ca)
Llei de reciprocitat quadràtica
39
8Spanish (es)
Ley de reciprocidad cuadrática
31
9Chinese (zh)
二次互反律
31
10Hebrew (he)
משפט ההדדיות הריבועית
30
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
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
trTurkish
Kare karşılıklılık yasası
ukUkrainian
Квадратичний закон взаємності
viVietnamese
Luật tương hỗ bậc hai
zhChinese
二次互反律

Popularity rank trends

Best Rank English:
#114017
01.2021
Global:
#83731
01.2025

AI rank trends

Best Rank English:
#3555
10.2001
Global:
#3747
10.2001

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

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

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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