Satz von Hartogs (Funktionentheorie)

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Satz von Hartogs (Funktionentheorie)

Quality:

Hartogs' theorem - equivalence between "separate" analyticity and analyticity in multiple variables. Article “Satz von Hartogs (Funktionentheorie)” in German Wikipedia has 3.7 points for quality (as of July 1, 2026). The article contains 0 references and 3 sections.

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

Since the creation of article “Satz von Hartogs (Funktionentheorie)”, its content was written by 12 registered users of German Wikipedia and edited by 83 registered Wikipedia users in all languages.

The article is cited 5 times in German Wikipedia and cited 47 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #21739 in July 2015
  • Global: #119255 in January 2021

The highest popularity rank from 2008:

  • Local (German): #173898 in December 2008
  • Global: #608202 in December 2008

There are 9 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, 2026 (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
1Russian (ru)
Теорема Хартогса
10.1558
2Polish (pl)
Twierdzenie Hartogsa (analiza zespolona)
9.9887
3Korean (ko)
하르톡스의 정리 (복소해석학)
9.2519
4Ukrainian (uk)
Теорема Хартогса
8.1375
5English (en)
Hartogs's theorem on separate holomorphicity
4.0893
6German (de)
Satz von Hartogs (Funktionentheorie)
3.67
7Turkish (tr)
Hartogs teoremi
2.6192
8Italian (it)
Teorema di Hartogs
2.2142
9Japanese (ja)
ハルトークスの定理
1.1819
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 "Satz von Hartogs (Funktionentheorie)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hartogs's theorem on separate holomorphicity
64 400
2Japanese (ja)
ハルトークスの定理
12 612
3Russian (ru)
Теорема Хартогса
10 676
4German (de)
Satz von Hartogs (Funktionentheorie)
8 639
5Italian (it)
Teorema di Hartogs
4 839
6Korean (ko)
하르톡스의 정리 (복소해석학)
4 449
7Turkish (tr)
Hartogs teoremi
3 341
8Ukrainian (uk)
Теорема Хартогса
3 084
9Polish (pl)
Twierdzenie Hartogsa (analiza zespolona)
696
More...

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

Most popular in June 2026

The most popular language versions of the article "Satz von Hartogs (Funktionentheorie)" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Hartogs's theorem on separate holomorphicity
271
2Japanese (ja)
ハルトークスの定理
72
3Italian (it)
Teorema di Hartogs
62
4Russian (ru)
Теорема Хартогса
21
5German (de)
Satz von Hartogs (Funktionentheorie)
15
6Turkish (tr)
Hartogs teoremi
8
7Korean (ko)
하르톡스의 정리 (복소해석학)
7
8Polish (pl)
Twierdzenie Hartogsa (analiza zespolona)
3
9Ukrainian (uk)
Теорема Хартогса
3
More...

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

The highest AI

Language versions of the article "Satz von Hartogs (Funktionentheorie)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hartogs's theorem on separate holomorphicity
27
2German (de)
Satz von Hartogs (Funktionentheorie)
12
3Italian (it)
Teorema di Hartogs
11
4Russian (ru)
Теорема Хартогса
9
5Japanese (ja)
ハルトークスの定理
8
6Ukrainian (uk)
Теорема Хартогса
5
7Korean (ko)
하르톡스의 정리 (복소해석학)
4
8Polish (pl)
Twierdzenie Hartogsa (analiza zespolona)
4
9Turkish (tr)
Hartogs teoremi
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 2026

Language versions of the article "Satz von Hartogs (Funktionentheorie)" with the highest AI in June 2026
#LanguageAI awardRelative AI
1German (de)
Satz von Hartogs (Funktionentheorie)
0
2English (en)
Hartogs's theorem on separate holomorphicity
0
3Italian (it)
Teorema di Hartogs
0
4Japanese (ja)
ハルトークスの定理
0
5Korean (ko)
하르톡스의 정리 (복소해석학)
0
6Polish (pl)
Twierdzenie Hartogsa (analiza zespolona)
0
7Russian (ru)
Теорема Хартогса
0
8Turkish (tr)
Hartogs teoremi
0
9Ukrainian (uk)
Теорема Хартогса
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 "Satz von Hartogs (Funktionentheorie)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Hartogs's theorem on separate holomorphicity
11
2Turkish (tr)
Hartogs teoremi
11
3Russian (ru)
Теорема Хартогса
6
4German (de)
Satz von Hartogs (Funktionentheorie)
5
5Japanese (ja)
ハルトークスの定理
4
6Ukrainian (uk)
Теорема Хартогса
4
7Italian (it)
Teorema di Hartogs
3
8Korean (ko)
하르톡스의 정리 (복소해석학)
2
9Polish (pl)
Twierdzenie Hartogsa (analiza zespolona)
1
More...

Scores

Estimated value for Wikipedia:
German:
Global:
Popularity in June 2026:
German:
Global:
Popularity in all years:
German:
Global:
Authors in June 2026:
German:
Global:
Registered authors in all years:
German:
Global:
Citations:
German:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Satz von Hartogs (Funktionentheorie)
enEnglish
Hartogs's theorem on separate holomorphicity
itItalian
Teorema di Hartogs
jaJapanese
ハルトークスの定理
koKorean
하르톡스의 정리 (복소해석학)
plPolish
Twierdzenie Hartogsa (analiza zespolona)
ruRussian
Теорема Хартогса
trTurkish
Hartogs teoremi
ukUkrainian
Теорема Хартогса

Popularity rank trends

Best Rank German:
#173898
12.2008
Global:
#608202
12.2008

AI rank trends

Best Rank German:
#21739
07.2015
Global:
#119255
01.2021

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Hartogs' theorem from Wikipedia articles about Baire category theorem, Function of several complex variables, Osgoods lemma, Holomorphic function and Analytic function. Whereas reading the article about Hartogs' theorem people most often go to Wikipedia articles on Osgoods lemma, Friedrich Hartogs, Hartogs extension theorem, Function of several complex variables and Baire category theorem.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In German Wikipedia the most popular articles on that day were: Demokratische Republik Kongo, Fußball-Weltmeisterschaft 2026, Senegal, Julian Nagelsmann, Erling Haaland, Sadio Mané, Fußball-Weltmeisterschaft 1994, Jürgen Klopp, Fußball-Europameisterschaft 2028, Fußball-Weltmeisterschaft.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information