Explicit formulae for L-functions

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Explicit formulae for L-functions

Quality:

Explicit formula - relations between sums over the complex number zeroes of an L-function and sums over prime powers. Article "Explicit formulae for L-functions" in English Wikipedia has 22.9 points for quality (as of July 1, 2025). The article contains 7 references and 10 sections. The article also contains quality flaw template, which reduce quality score.

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

In June 2025 the article "Explicit formulae for L-functions" was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article "Explicit formulae for L-functions", its content was written by 50 registered users of English Wikipedia and edited by 70 registered Wikipedia users in all languages.

The article is cited 29 times in English Wikipedia and cited 43 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #78307 in December 2016
  • Global: #238940 in November 2023

The highest popularity rank from 2008:

  • Local (English): #426975 in June 2017
  • Global: #413752 in February 2015

There are 4 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)
Explicit formulae for L-functions
22.9395
2Spanish (es)
Fórmula explícita
12.3027
3Japanese (ja)
明示公式
10.2046
4Portuguese (pt)
Fórmula explícita
5.0786
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 "Explicit formulae for L-functions" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Explicit formulae for L-functions
150 569
2Spanish (es)
Fórmula explícita
115 197
3Japanese (ja)
明示公式
11 169
4Portuguese (pt)
Fórmula explícita
8 786
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 "Explicit formulae for L-functions" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Explicit formulae for L-functions
1 138
2Japanese (ja)
明示公式
84
3Portuguese (pt)
Fórmula explícita
26
4Spanish (es)
Fórmula explícita
21
More...

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

The highest AI

Language versions of the article "Explicit formulae for L-functions" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Explicit formulae for L-functions
50
2Japanese (ja)
明示公式
9
3Spanish (es)
Fórmula explícita
7
4Portuguese (pt)
Fórmula explícita
4
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 "Explicit formulae for L-functions" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Explicit formulae for L-functions
1
2Spanish (es)
Fórmula explícita
0
3Japanese (ja)
明示公式
0
4Portuguese (pt)
Fórmula explícita
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 "Explicit formulae for L-functions" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Explicit formulae for L-functions
29
2Japanese (ja)
明示公式
7
3Spanish (es)
Fórmula explícita
5
4Portuguese (pt)
Fórmula explícita
2
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
enEnglish
Explicit formulae for L-functions
esSpanish
Fórmula explícita
jaJapanese
明示公式
ptPortuguese
Fórmula explícita

Popularity rank trends

Best Rank English:
#426975
06.2017
Global:
#413752
02.2015

AI rank trends

Best Rank English:
#78307
12.2016
Global:
#238940
11.2023

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Explicit formula from Wikipedia articles about Riemann hypothesis, Prime number theorem, Explicit formula, L-function and Hilbert–Pólya conjecture. Whereas reading the article about Explicit formula people most often go to Wikipedia articles on L-function, Prime-counting function, Chebyshev function, Möbius function and On the Number of Primes Less Than a Given Magnitude.

Cumulative results of quality and popularity of the Wikipedia article

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

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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