Liouville's theorem (complex analysis)

Liouville's theorem - theorem in complex analysis that nonconstant entire functions are unbounded. Article "Liouville's theorem (complex analysis)" in English Wikipedia has 33.9 points for quality (as of July 1, 2025). The article contains 9 references and 13 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 "Liouville's theorem (complex analysis)", its content was written by 70 registered users of English Wikipedia and edited by 420 registered Wikipedia users in all languages.

The article is cited 73 times in English Wikipedia and cited 355 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #12554 in September 2003
• Global: #12333 in October 2010

The highest popularity rank from 2008:

• Local (English): #187768 in April 2019
• Global: #191962 in November 2014

There are 23 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.

#	Language	Quality grade	Quality score
1	English (en) Liouville's theorem (complex analysis)		33.8815
2	Turkish (tr) Liouville teoremi (karmaşık analiz)		27.1043
3	Persian (fa) قضیه لیوویل (آنالیز مختلط)		24.8362
4	Hungarian (hu) Liouville-tétel (komplex analízis)		23.1456
5	Chinese (zh) 刘维尔定理 (复分析)		17.8291
6	Korean (ko) 리우빌 정리 (복소해석학)		17.1382
7	Finnish (fi) Liouvillen lause		14.315
8	Spanish (es) Teorema de Liouville (análisis complejo)		13.3451
9	French (fr) Théorème de Liouville (variable complexe)		10.8306
10	Japanese (ja) リウヴィルの定理 (解析学)		10.4547

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The following table shows the most popular language versions of the article.

The most popular language versions of the article "Liouville's theorem (complex analysis)" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Liouville's theorem (complex analysis)		675 682
2	German (de) Satz von Liouville (Funktionentheorie)		133 220
3	Japanese (ja) リウヴィルの定理 (解析学)		92 094
4	French (fr) Théorème de Liouville (variable complexe)		89 995
5	Spanish (es) Teorema de Liouville (análisis complejo)		71 824
6	Italian (it) Teorema di Liouville (analisi complessa)		65 904
7	Russian (ru) Теорема Лиувилля об ограниченных целых аналитических функциях		55 550
8	Chinese (zh) 刘维尔定理 (复分析)		37 788
9	Hebrew (he) משפט ליוביל (אנליזה מרוכבת)		37 378
10	Korean (ko) 리우빌 정리 (복소해석학)		26 894

More...

The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "Liouville's theorem (complex analysis)" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Liouville's theorem (complex analysis)		2 995
2	German (de) Satz von Liouville (Funktionentheorie)		525
3	Russian (ru) Теорема Лиувилля об ограниченных целых аналитических функциях		411
4	Japanese (ja) リウヴィルの定理 (解析学)		395
5	Chinese (zh) 刘维尔定理 (复分析)		311
6	French (fr) Théorème de Liouville (variable complexe)		293
7	Italian (it) Teorema di Liouville (analisi complessa)		252
8	Spanish (es) Teorema de Liouville (análisis complejo)		227
9	Hebrew (he) משפט ליוביל (אנליזה מרוכבת)		145
10	Turkish (tr) Liouville teoremi (karmaşık analiz)		109

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

Language versions of the article "Liouville's theorem (complex analysis)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Liouville's theorem (complex analysis)		70
2	French (fr) Théorème de Liouville (variable complexe)		49
3	German (de) Satz von Liouville (Funktionentheorie)		37
4	Italian (it) Teorema di Liouville (analisi complessa)		36
5	Russian (ru) Теорема Лиувилля об ограниченных целых аналитических функциях		26
6	Dutch (nl) Stelling van Liouville		23
7	Hebrew (he) משפט ליוביל (אנליזה מרוכבת)		21
8	Spanish (es) Teorema de Liouville (análisis complejo)		20
9	Danish (da) Liouvilles sætning		17
10	Japanese (ja) リウヴィルの定理 (解析学)		17

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

Language versions of the article "Liouville's theorem (complex analysis)" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Bulgarian (bg) Теорема на Лиувил		0
2	Czech (cs) Liouvilleova věta (komplexní analýza)		0
3	Danish (da) Liouvilles sætning		0
4	German (de) Satz von Liouville (Funktionentheorie)		0
5	English (en) Liouville's theorem (complex analysis)		0
6	Spanish (es) Teorema de Liouville (análisis complejo)		0
7	Persian (fa) قضیه لیوویل (آنالیز مختلط)		0
8	Finnish (fi) Liouvillen lause		0
9	French (fr) Théorème de Liouville (variable complexe)		0
10	Hebrew (he) משפט ליוביל (אנליזה מרוכבת)		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Liouville's theorem (complex analysis)" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Liouville's theorem (complex analysis)		73
2	German (de) Satz von Liouville (Funktionentheorie)		29
3	Hebrew (he) משפט ליוביל (אנליזה מרוכבת)		29
4	Japanese (ja) リウヴィルの定理 (解析学)		28
5	Spanish (es) Teorema de Liouville (análisis complejo)		20
6	French (fr) Théorème de Liouville (variable complexe)		18
7	Chinese (zh) 刘维尔定理 (复分析)		18
8	Portuguese (pt) Teorema de Liouville		16
9	Korean (ko) 리우빌 정리 (복소해석학)		15
10	Ukrainian (uk) Теорема Ліувілля (комплексний аналіз)		15

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#	Language	Value
bg	Bulgarian Теорема на Лиувил
cs	Czech Liouvilleova věta (komplexní analýza)
da	Danish Liouvilles sætning
de	German Satz von Liouville (Funktionentheorie)
en	English Liouville's theorem (complex analysis)
es	Spanish Teorema de Liouville (análisis complejo)
fa	Persian قضیه لیوویل (آنالیز مختلط)
fi	Finnish Liouvillen lause
fr	French Théorème de Liouville (variable complexe)
he	Hebrew משפט ליוביל (אנליזה מרוכבת)
hu	Hungarian Liouville-tétel (komplex analízis)
it	Italian Teorema di Liouville (analisi complessa)
ja	Japanese リウヴィルの定理 (解析学)
ko	Korean 리우빌 정리 (복소해석학)
nl	Dutch Stelling van Liouville
pl	Polish Twierdzenie Liouville’a (analiza zespolona)
pt	Portuguese Teorema de Liouville
ru	Russian Теорема Лиувилля об ограниченных целых аналитических функциях
sr	Serbian Лијувилова теорема (комплексна анализа)
sv	Swedish Liouvilles sats
tr	Turkish Liouville teoremi (karmaşık analiz)
uk	Ukrainian Теорема Ліувілля (комплексний аналіз)
zh	Chinese 刘维尔定理 (复分析)

Best Rank

English: #187768 04.2019

Global: #191962 11.2014

Best Rank

English: #12554 09.2003

Global: #12333 10.2010

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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