Funkcja von Mangoldta

pl

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Funkcja von Mangoldta

Quality:

Von Mangoldt function - Function on an integer n which is log(p) if n equals p^k; zero otherwise. Article “Funkcja von Mangoldta” in Polish Wikipedia has 10.7 points for quality (as of July 1, 2025). The article contains 1 references and 3 sections.

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

Since the creation of article “Funkcja von Mangoldta”, its content was written by 5 registered users of Polish Wikipedia and edited by 182 registered Wikipedia users in all languages.

The article is cited 96 times in Polish Wikipedia and cited 285 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Polish): #3687 in August 2023
  • Global: #62861 in January 2014

The highest popularity rank from 2008:

  • Local (Polish): #346028 in May 2025
  • 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 "Funkcja von Mangoldta" 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 "Funkcja von Mangoldta" 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 "Funkcja von Mangoldta" 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 "Funkcja von Mangoldta" 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 "Funkcja von Mangoldta" 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:
Polish:
Global:
Popularity in June 2025:
Polish:
Global:
Popularity in all years:
Polish:
Global:
Authors in June 2025:
Polish:
Global:
Registered authors in all years:
Polish:
Global:
Citations:
Polish:
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 Polish:
#346028
05.2025
Global:
#248084
06.2013

AI rank trends

Best Rank Polish:
#3687
08.2023
Global:
#62861
01.2014

Local AI rank history

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 10 February 2026

On 10 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Ghislaine Maxwell, Ilia Malinin, Bad Bunny, 2026 Winter Olympics, Epstein files, Jutta Leerdam, Jake Paul, Puerto Rico, Little Saint James.

In Polish Wikipedia the most popular articles on that day were: Kacper Tomasiak, Jeffrey Epstein, Ilia Malinin, Zimowe Igrzyska Olimpijskie 2026, Janusz Waluś, Klasyfikacja medalowa Zimowych Igrzysk Olimpijskich 2026, Władimir Samojłow (łyżwiarz figurowy), Ghislaine Maxwell, Jutta Leerdam, Kamil Stoch.

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