Gauss's lemma (polynomials)

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Gauss's lemma (polynomials)

Quality:

Gauss's lemma - lemma that the greatest common divisor of the coefficients is a multiplicative function. Article “Gauss's lemma (polynomials)” in English Wikipedia has 24.1 points for quality (as of July 1, 2025). The article contains 12 references and 6 sections.

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

Since the creation of article “Gauss's lemma (polynomials)”, its content was written by 71 registered users of English Wikipedia and edited by 181 registered Wikipedia users in all languages.

The article is cited 20 times in English Wikipedia and cited 347 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #52007 in January 2019
  • Global: #83676 in June 2012

The highest popularity rank from 2008:

  • Local (English): #251552 in December 2018
  • Global: #324235 in December 2018

There are 12 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
1French (fr)
Lemme de Gauss (polynômes)
30.088
2English (en)
Gauss's lemma (polynomials)
24.1193
3Galician (gl)
Lema de Gauss
13.5485
4Chinese (zh)
高斯引理 (多項式)
7.7704
5Russian (ru)
Лемма Гаусса о приводимости многочленов
7.0812
6Italian (it)
Lemma di Gauss (polinomi)
6.6529
7Polish (pl)
Twierdzenie Gaussa (algebra)
5.9243
8Hungarian (hu)
Gauss-lemma
4.6979
9Ukrainian (uk)
Лема Гауса про незвідні многочлени
4.6278
10Spanish (es)
Lema de Gauss
4.5708
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 "Gauss's lemma (polynomials)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Gauss's lemma (polynomials)
478 190
2French (fr)
Lemme de Gauss (polynômes)
71 911
3Spanish (es)
Lema de Gauss
62 999
4Italian (it)
Lemma di Gauss (polinomi)
35 898
5Polish (pl)
Twierdzenie Gaussa (algebra)
30 992
6Russian (ru)
Лемма Гаусса о приводимости многочленов
22 646
7Portuguese (pt)
Lema de Gauss
14 693
8Hebrew (he)
הלמה של גאוס (פולינומים)
11 698
9Hungarian (hu)
Gauss-lemma
10 051
10Chinese (zh)
高斯引理 (多項式)
8 250
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 "Gauss's lemma (polynomials)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Gauss's lemma (polynomials)
2 622
2French (fr)
Lemme de Gauss (polynômes)
296
3Russian (ru)
Лемма Гаусса о приводимости многочленов
205
4Spanish (es)
Lema de Gauss
195
5Italian (it)
Lemma di Gauss (polinomi)
158
6Chinese (zh)
高斯引理 (多項式)
99
7Polish (pl)
Twierdzenie Gaussa (algebra)
90
8Portuguese (pt)
Lema de Gauss
69
9Hebrew (he)
הלמה של גאוס (פולינומים)
34
10Hungarian (hu)
Gauss-lemma
23
More...

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

The highest AI

Language versions of the article "Gauss's lemma (polynomials)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Gauss's lemma (polynomials)
71
2French (fr)
Lemme de Gauss (polynômes)
21
3Spanish (es)
Lema de Gauss
17
4Hebrew (he)
הלמה של גאוס (פולינומים)
17
5Italian (it)
Lemma di Gauss (polinomi)
12
6Hungarian (hu)
Gauss-lemma
10
7Polish (pl)
Twierdzenie Gaussa (algebra)
10
8Portuguese (pt)
Lema de Gauss
8
9Russian (ru)
Лемма Гаусса о приводимости многочленов
6
10Ukrainian (uk)
Лема Гауса про незвідні многочлени
4
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 "Gauss's lemma (polynomials)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Gauss's lemma (polynomials)
0
2Spanish (es)
Lema de Gauss
0
3French (fr)
Lemme de Gauss (polynômes)
0
4Galician (gl)
Lema de Gauss
0
5Hebrew (he)
הלמה של גאוס (פולינומים)
0
6Hungarian (hu)
Gauss-lemma
0
7Italian (it)
Lemma di Gauss (polinomi)
0
8Polish (pl)
Twierdzenie Gaussa (algebra)
0
9Portuguese (pt)
Lema de Gauss
0
10Russian (ru)
Лемма Гаусса о приводимости многочленов
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 "Gauss's lemma (polynomials)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Lemma di Gauss (polinomi)
179
2Polish (pl)
Twierdzenie Gaussa (algebra)
54
3French (fr)
Lemme de Gauss (polynômes)
45
4English (en)
Gauss's lemma (polynomials)
20
5Spanish (es)
Lema de Gauss
12
6Hebrew (he)
הלמה של גאוס (פולינומים)
10
7Portuguese (pt)
Lema de Gauss
6
8Russian (ru)
Лемма Гаусса о приводимости многочленов
5
9Chinese (zh)
高斯引理 (多項式)
5
10Hungarian (hu)
Gauss-lemma
4
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
enEnglish
Gauss's lemma (polynomials)
esSpanish
Lema de Gauss
frFrench
Lemme de Gauss (polynômes)
glGalician
Lema de Gauss
heHebrew
הלמה של גאוס (פולינומים)
huHungarian
Gauss-lemma
itItalian
Lemma di Gauss (polinomi)
plPolish
Twierdzenie Gaussa (algebra)
ptPortuguese
Lema de Gauss
ruRussian
Лемма Гаусса о приводимости многочленов
ukUkrainian
Лема Гауса про незвідні многочлени
zhChinese
高斯引理 (多項式)

Popularity rank trends

Best Rank English:
#251552
12.2018
Global:
#324235
12.2018

AI rank trends

Best Rank English:
#52007
01.2019
Global:
#83676
06.2012

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Gauss's lemma from Wikipedia articles about Rational root theorem, Eisensteins criterion, Gausss lemma, Irreducible polynomial and Twierdzenie Gaussa. Whereas reading the article about Gauss's lemma people most often go to Wikipedia articles on Primitive part and content, Unique factorization domain, Gausss lemma, Carl Friedrich Gauss and Primitive polynomial.

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