Von Mangoldt function

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Von Mangoldt function

Quality:

Von Mangoldt function - Function on an integer n which is log(p) if n equals p^k; zero otherwise. Article “Von Mangoldt function” in English Wikipedia has 39.7 points for quality (as of July 1, 2025). The article contains 12 references and 11 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Von Mangoldt function”, its content was written by 42 registered users of English Wikipedia and edited by 182 registered Wikipedia users in all languages.

The article is cited 36 times in English Wikipedia and cited 285 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #63970 in May 2005
  • Global: #62861 in January 2014

The highest popularity rank from 2008:

  • Local (English): #152990 in June 2013
  • Global: #248084 in June 2013

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)
Von Mangoldt function
39.6846
2Slovenian (sl)
Von Mangoldtova funkcija
35.9738
3Hungarian (hu)
Von Mangoldt-függvény
31.1978
4Vietnamese (vi)
Hàm Von Mangoldt
25.3934
5Catalan (ca)
Funció de von Mangoldt
24.9301
6Persian (fa)
تابع منگولد
22.7699
7Japanese (ja)
フォン・マンゴルト関数
18.9582
8German (de)
Mangoldt-Funktion
18.7278
9Spanish (es)
Función de von Mangoldt
17.3761
10Finnish (fi)
Von Mangoldtin funktio
15.4719
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 "Von Mangoldt function" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Von Mangoldt function
253 139
2German (de)
Mangoldt-Funktion
23 437
3French (fr)
Fonction de von Mangoldt
20 340
4Spanish (es)
Función de von Mangoldt
11 284
5Korean (ko)
폰 망골트 함수
9 961
6Russian (ru)
Функция Мангольдта
8 717
7Italian (it)
Funzione di von Mangoldt
8 039
8Chinese (zh)
馮·曼戈爾特函數
7 388
9Japanese (ja)
フォン・マンゴルト関数
7 338
10Portuguese (pt)
Função de Mangoldt
5 474
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 "Von Mangoldt function" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Von Mangoldt function
1 436
2Japanese (ja)
フォン・マンゴルト関数
152
3German (de)
Mangoldt-Funktion
108
4French (fr)
Fonction de von Mangoldt
97
5Russian (ru)
Функция Мангольдта
75
6Chinese (zh)
馮·曼戈爾特函數
51
7Spanish (es)
Función de von Mangoldt
37
8Italian (it)
Funzione di von Mangoldt
29
9Polish (pl)
Funkcja von Mangoldta
22
10Korean (ko)
폰 망골트 함수
19
More...

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

The highest AI

Language versions of the article "Von Mangoldt function" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Von Mangoldt function
42
2French (fr)
Fonction de von Mangoldt
28
3Italian (it)
Funzione di von Mangoldt
21
4German (de)
Mangoldt-Funktion
18
5Japanese (ja)
フォン・マンゴルト関数
10
6Russian (ru)
Функция Мангольдта
7
7Persian (fa)
تابع منگولد
6
8Portuguese (pt)
Função de Mangoldt
6
9Spanish (es)
Función de von Mangoldt
5
10Dutch (nl)
Von Mangoldt-functie
5
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 "Von Mangoldt function" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
دالة فون مانغولدت
0
2Bulgarian (bg)
Функция на Манголд
0
3Catalan (ca)
Funció de von Mangoldt
0
4German (de)
Mangoldt-Funktion
0
5English (en)
Von Mangoldt function
0
6Spanish (es)
Función de von Mangoldt
0
7Persian (fa)
تابع منگولد
0
8Finnish (fi)
Von Mangoldtin funktio
0
9French (fr)
Fonction de von Mangoldt
0
10Hungarian (hu)
Von Mangoldt-függvény
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 "Von Mangoldt function" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Polish (pl)
Funkcja von Mangoldta
96
2English (en)
Von Mangoldt function
36
3German (de)
Mangoldt-Funktion
23
4French (fr)
Fonction de von Mangoldt
21
5Spanish (es)
Función de von Mangoldt
13
6Chinese (zh)
馮·曼戈爾特函數
13
7Japanese (ja)
フォン・マンゴルト関数
11
8Italian (it)
Funzione di von Mangoldt
10
9Korean (ko)
폰 망골트 함수
10
10Russian (ru)
Функция Мангольдта
9
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
دالة فون مانغولدت
bgBulgarian
Функция на Манголд
caCatalan
Funció de von Mangoldt
deGerman
Mangoldt-Funktion
enEnglish
Von Mangoldt function
esSpanish
Función de von Mangoldt
faPersian
تابع منگولد
fiFinnish
Von Mangoldtin funktio
frFrench
Fonction de von Mangoldt
huHungarian
Von Mangoldt-függvény
itItalian
Funzione di von Mangoldt
jaJapanese
フォン・マンゴルト関数
koKorean
폰 망골트 함수
nlDutch
Von Mangoldt-functie
plPolish
Funkcja von Mangoldta
ptPortuguese
Função de Mangoldt
ruRussian
Функция Мангольдта
slSlovenian
Von Mangoldtova funkcija
svSwedish
Mangoldtfunktionen
ukUkrainian
Функція фон Мангольдта
viVietnamese
Hàm Von Mangoldt
zhChinese
馮·曼戈爾特函數

Popularity rank trends

Best Rank English:
#152990
06.2013
Global:
#248084
06.2013

AI rank trends

Best Rank English:
#63970
05.2005
Global:
#62861
01.2014

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Von Mangoldt function from Wikipedia articles about Chebyshev function, Λ, Prime number theorem, Dirichlet series and Prime-counting function. Whereas reading the article about Von Mangoldt function people most often go to Wikipedia articles on Chebyshev function, Möbius inversion formula, Hans Carl Friedrich von Mangoldt, Prime-counting function and Arithmetic function.

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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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