Cyclotomic polynomial

en

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Cyclotomic polynomial

Quality:

Cyclotomic polynomial - irreducible polynomial of integer coefficients whose roots are nth roots of unity. Article “Cyclotomic polynomial” in English Wikipedia has 35.5 points for quality (as of July 1, 2025). The article contains 16 references and 16 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 3.95 points.

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

Since the creation of article “Cyclotomic polynomial”, its content was written by 116 registered users of English Wikipedia and edited by 362 registered Wikipedia users in all languages.

The article is cited 67 times in English Wikipedia and cited 562 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #16364 in August 2014
  • Global: #25436 in January 2003

The highest popularity rank from 2008:

  • Local (English): #94347 in October 2012
  • Global: #141728 in October 2012

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
1Catalan (ca)
Polinomi ciclotòmic
56.4007
2English (en)
Cyclotomic polynomial
35.5361
3French (fr)
Polynôme cyclotomique
33.4446
4Spanish (es)
Polinomio ciclotómico
21.2571
5German (de)
Kreisteilungspolynom
18.5011
6Swedish (sv)
Cirkeldelningspolynom
15.4534
7Korean (ko)
원분 다항식
13.4287
8Italian (it)
Polinomio ciclotomico
12.8356
9Japanese (ja)
円分多項式
11.4435
10Hebrew (he)
פולינום ציקלוטומי
11.3857
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 "Cyclotomic polynomial" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Cyclotomic polynomial
714 463
2French (fr)
Polynôme cyclotomique
158 801
3German (de)
Kreisteilungspolynom
103 265
4Spanish (es)
Polinomio ciclotómico
87 042
5Japanese (ja)
円分多項式
86 427
6Italian (it)
Polinomio ciclotomico
45 735
7Russian (ru)
Круговой многочлен
38 480
8Chinese (zh)
分圆多项式
24 176
9Hungarian (hu)
Körosztási polinom
12 290
10Hebrew (he)
פולינום ציקלוטומי
9 459
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 "Cyclotomic polynomial" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Cyclotomic polynomial
5 164
2French (fr)
Polynôme cyclotomique
713
3Japanese (ja)
円分多項式
540
4German (de)
Kreisteilungspolynom
346
5Spanish (es)
Polinomio ciclotómico
284
6Chinese (zh)
分圆多项式
205
7Italian (it)
Polinomio ciclotomico
180
8Russian (ru)
Круговой многочлен
147
9Korean (ko)
원분 다항식
113
10Hungarian (hu)
Körosztási polinom
80
More...

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

The highest AI

Language versions of the article "Cyclotomic polynomial" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Cyclotomic polynomial
116
2French (fr)
Polynôme cyclotomique
69
3German (de)
Kreisteilungspolynom
44
4Italian (it)
Polinomio ciclotomico
20
5Russian (ru)
Круговой многочлен
19
6Spanish (es)
Polinomio ciclotómico
17
7Hungarian (hu)
Körosztási polinom
15
8Japanese (ja)
円分多項式
15
9Chinese (zh)
分圆多项式
13
10Catalan (ca)
Polinomi ciclotòmic
10
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 "Cyclotomic polynomial" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Hungarian (hu)
Körosztási polinom
1
2Italian (it)
Polinomio ciclotomico
1
3Arabic (ar)
متعددة حدود دويرانية
0
4Catalan (ca)
Polinomi ciclotòmic
0
5Czech (cs)
Cyklotomický polynom
0
6German (de)
Kreisteilungspolynom
0
7English (en)
Cyclotomic polynomial
0
8Spanish (es)
Polinomio ciclotómico
0
9French (fr)
Polynôme cyclotomique
0
10Hebrew (he)
פולינום ציקלוטומי
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 "Cyclotomic polynomial" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Polinomio ciclotomico
193
2French (fr)
Polynôme cyclotomique
85
3English (en)
Cyclotomic polynomial
67
4Polish (pl)
Wielomian cyklotomiczny
53
5Japanese (ja)
円分多項式
29
6German (de)
Kreisteilungspolynom
23
7Spanish (es)
Polinomio ciclotómico
22
8Russian (ru)
Круговой многочлен
19
9Catalan (ca)
Polinomi ciclotòmic
13
10Hebrew (he)
פולינום ציקלוטומי
12
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
متعددة حدود دويرانية
caCatalan
Polinomi ciclotòmic
csCzech
Cyklotomický polynom
deGerman
Kreisteilungspolynom
enEnglish
Cyclotomic polynomial
esSpanish
Polinomio ciclotómico
frFrench
Polynôme cyclotomique
heHebrew
פולינום ציקלוטומי
huHungarian
Körosztási polinom
itItalian
Polinomio ciclotomico
jaJapanese
円分多項式
koKorean
원분 다항식
plPolish
Wielomian cyklotomiczny
ruRussian
Круговой многочлен
svSwedish
Cirkeldelningspolynom
ukUkrainian
Многочлен поділу кола
zhChinese
分圆多项式

Popularity rank trends

Best Rank English:
#94347
10.2012
Global:
#141728
10.2012

AI rank trends

Best Rank English:
#16364
08.2014
Global:
#25436
01.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Cyclotomic polynomial from Wikipedia articles about Largest known prime number, Root of unity, Cyclotomic field, Abel–Ruffini theorem and Φ/φ. Whereas reading the article about Cyclotomic polynomial people most often go to Wikipedia articles on Root of unity, Eulers totient function, Cyclotomic field, Irreducible polynomial and Aurifeuillian factorization.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

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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