Residue theorem

en

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Residue theorem

Quality:

Residue theorem - the theorem that complex contour integrals are simply the sums of residues of singularities contained within the contour. Article "Residue theorem" in English Wikipedia has 32.6 points for quality (as of July 1, 2025). The article contains 2 references and 10 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 "Residue theorem", its content was written by 101 registered users of English Wikipedia and edited by 458 registered Wikipedia users in all languages.

The article is cited 86 times in English Wikipedia and cited 415 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #6734 in January 2003
  • Global: #10717 in January 2003

The highest popularity rank from 2008:

  • Local (English): #74884 in November 2023
  • Global: #73961 in December 2014

There are 22 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)
Residue theorem
32.554
2Chinese (zh)
留数定理
26.3138
3Kazakh (kk)
Қалынды туралы негізгі теорема
21.5037
4French (fr)
Théorème des résidus
20.4622
5German (de)
Residuensatz
18.8533
6Turkish (tr)
Kalıntı teoremi
17.0636
7Hungarian (hu)
Reziduumtétel
15.0919
8Arabic (ar)
مبرهنة الرواسب
13.847
9Hebrew (he)
משפט השאריות
13.4108
10Finnish (fi)
Residylause
10.0471
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 "Residue theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Residue theorem
1 894 981
2German (de)
Residuensatz
450 402
3French (fr)
Théorème des résidus
349 560
4Spanish (es)
Teorema de los residuos
321 088
5Italian (it)
Teorema dei residui
193 080
6Chinese (zh)
留数定理
186 401
7Russian (ru)
Основная теорема о вычетах
151 225
8Hebrew (he)
משפט השאריות
70 448
9Polish (pl)
Twierdzenie o residuach
58 072
10Portuguese (pt)
Teorema dos resíduos
56 751
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 "Residue theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Residue theorem
9 218
2German (de)
Residuensatz
1 627
3French (fr)
Théorème des résidus
1 246
4Chinese (zh)
留数定理
1 135
5Russian (ru)
Основная теорема о вычетах
721
6Spanish (es)
Teorema de los residuos
696
7Italian (it)
Teorema dei residui
688
8Portuguese (pt)
Teorema dos resíduos
256
9Hebrew (he)
משפט השאריות
255
10Polish (pl)
Twierdzenie o residuach
227
More...

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

The highest AI

Language versions of the article "Residue theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Residue theorem
101
2French (fr)
Théorème des résidus
62
3German (de)
Residuensatz
57
4Hebrew (he)
משפט השאריות
33
5Italian (it)
Teorema dei residui
33
6Russian (ru)
Основная теорема о вычетах
29
7Spanish (es)
Teorema de los residuos
28
8Chinese (zh)
留数定理
16
9Dutch (nl)
Residustelling
14
10Polish (pl)
Twierdzenie o residuach
12
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 "Residue theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Norwegian (no)
Residueteoremet
2
2Hebrew (he)
משפט השאריות
1
3Italian (it)
Teorema dei residui
1
4Dutch (nl)
Residustelling
1
5Chinese (zh)
留数定理
1
6Arabic (ar)
مبرهنة الرواسب
0
7German (de)
Residuensatz
0
8English (en)
Residue theorem
0
9Spanish (es)
Teorema de los residuos
0
10Persian (fa)
قضیه مانده
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 "Residue theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Residue theorem
86
2French (fr)
Théorème des résidus
53
3Hebrew (he)
משפט השאריות
47
4German (de)
Residuensatz
32
5Turkish (tr)
Kalıntı teoremi
29
6Chinese (zh)
留数定理
28
7Italian (it)
Teorema dei residui
19
8Persian (fa)
قضیه مانده
18
9Portuguese (pt)
Teorema dos resíduos
14
10Spanish (es)
Teorema de los residuos
13
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
مبرهنة الرواسب
deGerman
Residuensatz
enEnglish
Residue theorem
esSpanish
Teorema de los residuos
faPersian
قضیه مانده
fiFinnish
Residylause
frFrench
Théorème des résidus
heHebrew
משפט השאריות
hiHindi
अवशेष प्रमेय
huHungarian
Reziduumtétel
itItalian
Teorema dei residui
kkKazakh
Қалынды туралы негізгі теорема
nlDutch
Residustelling
noNorwegian
Residueteoremet
plPolish
Twierdzenie o residuach
ptPortuguese
Teorema dos resíduos
ruRussian
Основная теорема о вычетах
srSerbian
Кошијева теорема о резидуму
svSwedish
Residysatsen
trTurkish
Kalıntı teoremi
ukUkrainian
Основна теорема про лишки
zhChinese
留数定理

Popularity rank trends

Best Rank English:
#74884
11.2023
Global:
#73961
12.2014

AI rank trends

Best Rank English:
#6734
01.2003
Global:
#10717
01.2003

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Residue theorem from Wikipedia articles about Contour integration, Residue, Cauchys integral formula, Cauchys integral theorem and Inverse Laplace transform. Whereas reading the article about Residue theorem people most often go to Wikipedia articles on Residue, Cauchys integral theorem, Cauchys integral formula, Holomorphic function and Winding number.

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

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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