Selberg trace formula

en

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Selberg trace formula

Quality:

Selberg trace formula - Mathematical theorem. Article “Selberg trace formula” in English Wikipedia has 25.4 points for quality (as of July 1, 2025). The article contains 2 references and 12 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.

In June 2025 the article “Selberg trace formula” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Selberg trace formula”, its content was written by 37 registered users of English Wikipedia and edited by 85 registered Wikipedia users in all languages.

The article is cited 33 times in English Wikipedia and cited 92 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #64624 in October 2022
  • Global: #131923 in February 2020

The highest popularity rank from 2008:

  • Local (English): #625579 in March 2014
  • Global: #766905 in January 2023

There are 5 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)
Selberg trace formula
25.368
2Japanese (ja)
セルバーグ跡公式
17.1841
3German (de)
Selbergsche Spurformel
15.8607
4Chinese (zh)
塞爾伯格跡公式
9.2749
5French (fr)
Formule des traces de Selberg
8.3713
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 "Selberg trace formula" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Selberg trace formula
141 981
2Chinese (zh)
塞爾伯格跡公式
24 040
3French (fr)
Formule des traces de Selberg
20 491
4Japanese (ja)
セルバーグ跡公式
16 684
5German (de)
Selbergsche Spurformel
2 281
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 "Selberg trace formula" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Selberg trace formula
939
2Japanese (ja)
セルバーグ跡公式
194
3Chinese (zh)
塞爾伯格跡公式
122
4French (fr)
Formule des traces de Selberg
90
5German (de)
Selbergsche Spurformel
26
More...

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

The highest AI

Language versions of the article "Selberg trace formula" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Selberg trace formula
37
2French (fr)
Formule des traces de Selberg
21
3German (de)
Selbergsche Spurformel
11
4Japanese (ja)
セルバーグ跡公式
10
5Chinese (zh)
塞爾伯格跡公式
6
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 "Selberg trace formula" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Selberg trace formula
1
2German (de)
Selbergsche Spurformel
0
3French (fr)
Formule des traces de Selberg
0
4Japanese (ja)
セルバーグ跡公式
0
5Chinese (zh)
塞爾伯格跡公式
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 "Selberg trace formula" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Selberg trace formula
33
2French (fr)
Formule des traces de Selberg
27
3German (de)
Selbergsche Spurformel
13
4Japanese (ja)
セルバーグ跡公式
11
5Chinese (zh)
塞爾伯格跡公式
8
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
deGerman
Selbergsche Spurformel
enEnglish
Selberg trace formula
frFrench
Formule des traces de Selberg
jaJapanese
セルバーグ跡公式
zhChinese
塞爾伯格跡公式

Popularity rank trends

Best Rank English:
#625579
03.2014
Global:
#766905
01.2023

AI rank trends

Best Rank English:
#64624
10.2022
Global:
#131923
02.2020

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Selberg trace formula from Wikipedia articles about Poisson summation formula, Hilbert–Pólya conjecture, Langlands program, Arthur–Selberg trace formula and Atle Selberg. Whereas reading the article about Selberg trace formula people most often go to Wikipedia articles on Arthur–Selberg trace formula, Selberg zeta function, Jacquet–Langlands correspondence, Poisson summation formula and Atle Selberg.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 16 March 2026

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In English Wikipedia the most popular articles on that day were: 98th Academy Awards, Michael B. Jordan, Paul Thomas Anderson, Jessie Buckley, Sinners (2025 film), Amy Madigan, Autumn Durald Arkapaw, Maya Rudolph, Sean Penn, Academy Awards.

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