Borel summation

en

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Borel summation

Quality:

Borel summation - summation method for divergent series. Article “Borel summation” in English Wikipedia has 30.6 points for quality (as of July 1, 2025). The article contains 3 references and 25 sections.

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

In June 2025 the article “Borel summation” was edited by 2 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article “Borel summation”, its content was written by 54 registered users of English Wikipedia and edited by 172 registered Wikipedia users in all languages.

The article is cited 37 times in English Wikipedia and cited 156 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #67439 in July 2017
  • Global: #76692 in February 2014

The highest popularity rank from 2008:

  • Local (English): #289971 in January 2014
  • Global: #421133 in January 2014

There are 17 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
1German (de)
Borel-Summierung
47.58
2English (en)
Borel summation
30.5775
3Italian (it)
Somma di Borel
29.603
4Chinese (zh)
博雷爾求和
25.5436
5Japanese (ja)
ボレル総和
20.084
6Turkish (tr)
Borel toplamı
11.3634
7Korean (ko)
보렐 합
10.7265
8Spanish (es)
Sumación de Borel
8.8949
9Indonesian (id)
Penjumlahan Borel
7.553
10French (fr)
Sommation de Borel
6.4418
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 "Borel summation" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Borel summation
211 947
2French (fr)
Sommation de Borel
26 804
3Spanish (es)
Sumación de Borel
11 206
4Portuguese (pt)
Soma de Borel
9 570
5Italian (it)
Somma di Borel
8 806
6Russian (ru)
Сходимость по Борелю
7 411
7Chinese (zh)
博雷爾求和
7 039
8Japanese (ja)
ボレル総和
6 784
9Turkish (tr)
Borel toplamı
5 084
10Ukrainian (uk)
Збіжність за Борелем
3 328
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 "Borel summation" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Borel summation
1 185
2Japanese (ja)
ボレル総和
177
3French (fr)
Sommation de Borel
104
4Chinese (zh)
博雷爾求和
55
5German (de)
Borel-Summierung
48
6Italian (it)
Somma di Borel
37
7Russian (ru)
Сходимость по Борелю
29
8Portuguese (pt)
Soma de Borel
27
9Spanish (es)
Sumación de Borel
24
10Azerbaijani (az)
Borel cəmi
12
More...

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

The highest AI

Language versions of the article "Borel summation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Borel summation
54
2French (fr)
Sommation de Borel
21
3Italian (it)
Somma di Borel
20
4German (de)
Borel-Summierung
11
5Spanish (es)
Sumación de Borel
8
6Japanese (ja)
ボレル総和
8
7Russian (ru)
Сходимость по Борелю
8
8Chinese (zh)
博雷爾求和
8
9Ukrainian (uk)
Збіжність за Борелем
6
10Azerbaijani (az)
Borel cəmi
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 "Borel summation" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Borel summation
2
2German (de)
Borel-Summierung
1
3Azerbaijani (az)
Borel cəmi
0
4Catalan (ca)
Sumatori de Borel
0
5Esperanto (eo)
Sumado de Borel
0
6Spanish (es)
Sumación de Borel
0
7French (fr)
Sommation de Borel
0
8Hindi (hi)
बोरल संकलन
0
9Indonesian (id)
Penjumlahan Borel
0
10Italian (it)
Somma di Borel
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 "Borel summation" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Borel summation
37
2French (fr)
Sommation de Borel
23
3German (de)
Borel-Summierung
10
4Chinese (zh)
博雷爾求和
10
5Japanese (ja)
ボレル総和
9
6Ukrainian (uk)
Збіжність за Борелем
8
7Spanish (es)
Sumación de Borel
7
8Korean (ko)
보렐 합
7
9Turkish (tr)
Borel toplamı
7
10Hindi (hi)
बोरल संकलन
6
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
azAzerbaijani
Borel cəmi
caCatalan
Sumatori de Borel
deGerman
Borel-Summierung
enEnglish
Borel summation
eoEsperanto
Sumado de Borel
esSpanish
Sumación de Borel
frFrench
Sommation de Borel
hiHindi
बोरल संकलन
idIndonesian
Penjumlahan Borel
itItalian
Somma di Borel
jaJapanese
ボレル総和
koKorean
보렐 합
ptPortuguese
Soma de Borel
ruRussian
Сходимость по Борелю
trTurkish
Borel toplamı
ukUkrainian
Збіжність за Борелем
zhChinese
博雷爾求和

Popularity rank trends

Best Rank English:
#289971
01.2014
Global:
#421133
01.2014

AI rank trends

Best Rank English:
#67439
07.2017
Global:
#76692
02.2014

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Borel summation from Wikipedia articles about Borel transform, Ramanujan summation, Resummation, 1 − 1 + 2 − 6 + 24 − 120 + ⋯ and Divergent series. Whereas reading the article about Borel summation people most often go to Wikipedia articles on Mittag-Leffler summation, Divergent series, Émile Borel, Nachbins theorem and Gösta Mittag-Leffler.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 28 February 2026

On 28 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Ali Khamenei, Iran, Ruhollah Khomeini, Jeffrey Epstein, Supreme Leader of Iran, Mohammad Reza I of Iran, 2026 Israeli–United States strikes on Iran, Neil Sedaka, Masoud Pezeshkian, Resident Evil Requiem.

In English Wikipedia the most popular articles on that day were: Ali Khamenei, 2026 Israeli–United States strikes on Iran, Neil Sedaka, Iran, Ruhollah Khomeini, Iran–Israel conflict, Supreme Leader of Iran, Scream 7, Elimination Chamber (2026), World War III.

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