Fourier series

en

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Fourier series

Quality:

Fourier series - decomposition of periodic functions into sums of simpler sinusoidal forms. Article “Fourier series” in English Wikipedia has 75.3 points for quality (as of July 1, 2025). The article contains 55 references and 35 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 “Fourier series” was edited by 1 authors in English Wikipedia and written by 7 authors in all languages.

Since the creation of article “Fourier series”, its content was written by 432 registered users of English Wikipedia and edited by 1990 registered Wikipedia users in all languages.

The article is cited 648 times in English Wikipedia and cited 4369 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #1457 in March 2003
  • Global: #2243 in October 2004

The highest popularity rank from 2008:

  • Local (English): #187 in February 2015
  • Global: #592 in February 2015

There are 47 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)
Fourier series
75.2537
2Portuguese (pt)
Série de Fourier
72.13
3Chinese (zh)
傅里叶级数
66.4416
4Greek (el)
Σειρές Φουριέ
61.302
5Indonesian (id)
Deret Fourier
58.6671
6Polish (pl)
Szereg Fouriera
55.2484
7Turkish (tr)
Fourier serisi
52.1983
8German (de)
Fourierreihe
52.0527
9Galician (gl)
Serie de Fourier
49.7473
10Catalan (ca)
Sèrie de Fourier
45.6144
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 "Fourier series" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Fourier series
10 194 195
2Spanish (es)
Serie de Fourier
2 469 845
3German (de)
Fourierreihe
1 956 828
4French (fr)
Série de Fourier
1 905 245
5Russian (ru)
Ряд Фурье
1 635 795
6Japanese (ja)
フーリエ級数
1 206 842
7Chinese (zh)
傅里叶级数
1 055 235
8Italian (it)
Serie di Fourier
1 044 550
9Polish (pl)
Szereg Fouriera
647 471
10Portuguese (pt)
Série de Fourier
581 535
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 "Fourier series" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Fourier series
26 502
2French (fr)
Série de Fourier
5 035
3Russian (ru)
Ряд Фурье
4 976
4German (de)
Fourierreihe
4 070
5Chinese (zh)
傅里叶级数
3 920
6Spanish (es)
Serie de Fourier
3 910
7Italian (it)
Serie di Fourier
3 084
8Japanese (ja)
フーリエ級数
2 770
9Korean (ko)
푸리에 급수
2 457
10Polish (pl)
Szereg Fouriera
2 108
More...

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

The highest AI

Language versions of the article "Fourier series" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Fourier series
432
2German (de)
Fourierreihe
179
3French (fr)
Série de Fourier
156
4Russian (ru)
Ряд Фурье
112
5Italian (it)
Serie di Fourier
100
6Spanish (es)
Serie de Fourier
90
7Dutch (nl)
Fourierreeks
76
8Portuguese (pt)
Série de Fourier
76
9Hebrew (he)
טור פורייה
66
10Chinese (zh)
傅里叶级数
60
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 "Fourier series" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Fourier series
1
2Persian (fa)
سری فوریه
1
3French (fr)
Série de Fourier
1
4Hungarian (hu)
Fourier-sor
1
5Indonesian (id)
Deret Fourier
1
6Russian (ru)
Ряд Фурье
1
7Swedish (sv)
Fourierserie
1
8Arabic (ar)
متسلسلة فورييه
0
9Azerbaijani (az)
Furye sıraları
0
10Belarusian (be)
Рад Фур’е
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 "Fourier series" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Fourier series
648
2French (fr)
Série de Fourier
346
3Chinese (zh)
傅里叶级数
259
4Italian (it)
Serie di Fourier
226
5Russian (ru)
Ряд Фурье
224
6Arabic (ar)
متسلسلة فورييه
207
7German (de)
Fourierreihe
201
8Japanese (ja)
フーリエ級数
184
9Spanish (es)
Serie de Fourier
172
10Ukrainian (uk)
Ряд Фур'є
171
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
arArabic
متسلسلة فورييه
azAzerbaijani
Furye sıraları
beBelarusian
Рад Фур’е
bgBulgarian
Ред на Фурие
caCatalan
Sèrie de Fourier
csCzech
Fourierova řada
daDanish
Fourierrække
deGerman
Fourierreihe
elGreek
Σειρές Φουριέ
enEnglish
Fourier series
eoEsperanto
Vico de Fourier
esSpanish
Serie de Fourier
etEstonian
Fourier' rida
euBasque
Fourierren serie
faPersian
سری فوریه
fiFinnish
Fourier’n sarja
frFrench
Série de Fourier
glGalician
Serie de Fourier
heHebrew
טור פורייה
hiHindi
फ़ूर्ये श्रेणी
huHungarian
Fourier-sor
hyArmenian
Ֆուրիեի շարք
idIndonesian
Deret Fourier
itItalian
Serie di Fourier
jaJapanese
フーリエ級数
kkKazakh
Фурье қатары
koKorean
푸리에 급수
laLatin
Series Fourieriana
ltLithuanian
Furjė eilutė
nlDutch
Fourierreeks
nnNorwegian (Nynorsk)
Fourierrekkje
plPolish
Szereg Fouriera
ptPortuguese
Série de Fourier
roRomanian
Serie Fourier
ruRussian
Ряд Фурье
shSerbo-Croatian
Furijeov red
simpleSimple English
Fourier series
skSlovak
Fourierov rad
slSlovenian
Fourierova vrsta
srSerbian
Фуријеов ред
svSwedish
Fourierserie
thThai
อนุกรมฟูรีเย
trTurkish
Fourier serisi
ukUkrainian
Ряд Фур'є
urUrdu
فورئیر سیریز
viVietnamese
Chuỗi Fourier
zhChinese
傅里叶级数

Popularity rank trends

Best Rank English:
#187
02.2015
Global:
#592
02.2015

AI rank trends

Best Rank English:
#1457
03.2003
Global:
#2243
10.2004

Local popularity rank history

Global popularity rank history

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Fourier series from Wikipedia articles about Fourier transform, Joseph Fourier, Fourier analysis, Discrete Fourier transform and Taylor series. Whereas reading the article about Fourier series people most often go to Wikipedia articles on Fourier transform, Joseph Fourier, Fourier analysis, Heat equation and Convergence of Fourier series.

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 January 2026

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In English Wikipedia the most popular articles on that day were: Ajit Pawar, Border 2, Sharad Pawar, Killing of Alex Pretti, Ilhan Omar, Sunetra Pawar, Todd Monken, Kristi Noem, Wonder Man (miniseries), Gregory Bovino.

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