Poisson summation formula

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Poisson summation formula

Quality:

Poisson summation formula - an equation that relates the Fourier series coefficients of the periodic summation of a function to values of the function's continuous Fourier transform. Article “Poisson summation formula” in English Wikipedia has 41.7 points for quality (as of July 1, 2025). The article contains 22 references and 20 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 “Poisson summation formula”, its content was written by 72 registered users of English Wikipedia and edited by 191 registered Wikipedia users in all languages.

The article is cited 44 times in English Wikipedia and cited 135 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #36673 in March 2004
  • Global: #75152 in March 2004

The highest popularity rank from 2008:

  • Local (English): #231886 in November 2014
  • Global: #309762 in November 2008

There are 7 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)
Poisson summation formula
41.6603
2Chinese (zh)
泊松求和公式
23.0817
3Portuguese (pt)
Fórmula do somatório de Poisson
20.1621
4French (fr)
Formule sommatoire de Poisson
15.0485
5Italian (it)
Formula di sommazione di Poisson
12.7122
6German (de)
Poissonsche Summenformel
7.9686
7Japanese (ja)
ポアソン和公式
2.7354
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 "Poisson summation formula" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Poisson summation formula
622 957
2French (fr)
Formule sommatoire de Poisson
108 279
3German (de)
Poissonsche Summenformel
53 513
4Italian (it)
Formula di sommazione di Poisson
40 586
5Japanese (ja)
ポアソン和公式
26 391
6Chinese (zh)
泊松求和公式
19 783
7Portuguese (pt)
Fórmula do somatório de Poisson
1 933
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 "Poisson summation formula" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Poisson summation formula
2 791
2French (fr)
Formule sommatoire de Poisson
387
3Japanese (ja)
ポアソン和公式
302
4Chinese (zh)
泊松求和公式
252
5German (de)
Poissonsche Summenformel
170
6Italian (it)
Formula di sommazione di Poisson
169
7Portuguese (pt)
Fórmula do somatório de Poisson
39
More...

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

The highest AI

Language versions of the article "Poisson summation formula" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Poisson summation formula
72
2French (fr)
Formule sommatoire de Poisson
43
3German (de)
Poissonsche Summenformel
34
4Italian (it)
Formula di sommazione di Poisson
22
5Japanese (ja)
ポアソン和公式
9
6Chinese (zh)
泊松求和公式
8
7Portuguese (pt)
Fórmula do somatório de Poisson
3
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 "Poisson summation formula" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Poissonsche Summenformel
0
2English (en)
Poisson summation formula
0
3French (fr)
Formule sommatoire de Poisson
0
4Italian (it)
Formula di sommazione di Poisson
0
5Japanese (ja)
ポアソン和公式
0
6Portuguese (pt)
Fórmula do somatório de Poisson
0
7Chinese (zh)
泊松求和公式
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 "Poisson summation formula" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Poisson summation formula
44
2French (fr)
Formule sommatoire de Poisson
37
3German (de)
Poissonsche Summenformel
19
4Japanese (ja)
ポアソン和公式
13
5Italian (it)
Formula di sommazione di Poisson
10
6Chinese (zh)
泊松求和公式
9
7Portuguese (pt)
Fórmula do somatório de Poisson
3
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
Poissonsche Summenformel
enEnglish
Poisson summation formula
frFrench
Formule sommatoire de Poisson
itItalian
Formula di sommazione di Poisson
jaJapanese
ポアソン和公式
ptPortuguese
Fórmula do somatório de Poisson
zhChinese
泊松求和公式

Popularity rank trends

Best Rank English:
#231886
11.2014
Global:
#309762
11.2008

AI rank trends

Best Rank English:
#36673
03.2004
Global:
#75152
03.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Poisson summation formula from Wikipedia articles about Riemann zeta function, Discrete-time Fourier transform, Dirac comb, Fourier transform and Ewald summation. Whereas reading the article about Poisson summation formula people most often go to Wikipedia articles on Fourier transform, Dirac comb, Discrete-time Fourier transform, Selberg trace formula and Schwartz space.

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