Jacobian conjecture

Jacobian conjecture - conjecture asserting that, over a characteristic-zero field K, given a polynomial map f: Kⁿ → Kⁿ, if its Jacobian determinant J: Kⁿ → K is a nonzero constant map, then f admits a polynomial inverse g: Kⁿ → Kⁿ. Article “Jacobian conjecture” in English Wikipedia has 28.1 points for quality (as of July 1, 2025). The article contains 21 references and 6 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.48 points.

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

Since the creation of article “Jacobian conjecture”, its content was written by 71 registered users of English Wikipedia and edited by 133 registered Wikipedia users in all languages.

The article is cited 21 times in English Wikipedia and cited 54 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #43823 in June 2018
• Global: #60431 in April 2024

The highest popularity rank from 2008:

• Local (English): #202690 in April 2019
• Global: #324131 in April 2019

There are 10 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.

#	Language	Quality grade	Quality score
1	German (de) Jacobi-Vermutung		34.005
2	Greek (el) Εικασία του Ιακωβιανού		31.7485
3	English (en) Jacobian conjecture		28.0828
4	Spanish (es) Conjetura jacobiana		14.8909
5	French (fr) Conjecture jacobienne		13.7296
6	Russian (ru) Проблема якобиана		11.6127
7	Arabic (ar) حدسية جاكوبية		11.4875
8	Dutch (nl) Jacobiaans vermoeden		7.308
9	Chinese (zh) 雅可比猜想		6.2019
10	Japanese (ja) ヤコビアン予想		5.8752

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "Jacobian conjecture" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Jacobian conjecture		326 501
2	Chinese (zh) 雅可比猜想		36 251
3	Russian (ru) Проблема якобиана		27 747
4	French (fr) Conjecture jacobienne		17 891
5	Japanese (ja) ヤコビアン予想		12 110
6	Spanish (es) Conjetura jacobiana		3 435
7	Dutch (nl) Jacobiaans vermoeden		1 691
8	German (de) Jacobi-Vermutung		878
9	Arabic (ar) حدسية جاكوبية		477
10	Greek (el) Εικασία του Ιακωβιανού		158

More...

The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "Jacobian conjecture" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Jacobian conjecture		1 579
2	Chinese (zh) 雅可比猜想		318
3	Russian (ru) Проблема якобиана		124
4	Japanese (ja) ヤコビアン予想		115
5	French (fr) Conjecture jacobienne		70
6	German (de) Jacobi-Vermutung		59
7	Spanish (es) Conjetura jacobiana		49
8	Greek (el) Εικασία του Ιακωβιανού		12
9	Arabic (ar) حدسية جاكوبية		6
10	Dutch (nl) Jacobiaans vermoeden		5

More...

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

Language versions of the article "Jacobian conjecture" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Jacobian conjecture		71
2	German (de) Jacobi-Vermutung		12
3	Russian (ru) Проблема якобиана		10
4	French (fr) Conjecture jacobienne		9
5	Chinese (zh) 雅可比猜想		9
6	Spanish (es) Conjetura jacobiana		7
7	Dutch (nl) Jacobiaans vermoeden		5
8	Greek (el) Εικασία του Ιακωβιανού		4
9	Japanese (ja) ヤコビアン予想		4
10	Arabic (ar) حدسية جاكوبية		2

More...

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

Language versions of the article "Jacobian conjecture" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Arabic (ar) حدسية جاكوبية		0
2	German (de) Jacobi-Vermutung		0
3	Greek (el) Εικασία του Ιακωβιανού		0
4	English (en) Jacobian conjecture		0
5	Spanish (es) Conjetura jacobiana		0
6	French (fr) Conjecture jacobienne		0
7	Japanese (ja) ヤコビアン予想		0
8	Dutch (nl) Jacobiaans vermoeden		0
9	Russian (ru) Проблема якобиана		0
10	Chinese (zh) 雅可比猜想		0

More...

The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Jacobian conjecture" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Jacobian conjecture		21
2	French (fr) Conjecture jacobienne		8
3	Chinese (zh) 雅可比猜想		6
4	Spanish (es) Conjetura jacobiana		5
5	Russian (ru) Проблема якобиана		4
6	German (de) Jacobi-Vermutung		3
7	Japanese (ja) ヤコビアン予想		3
8	Dutch (nl) Jacobiaans vermoeden		3
9	Arabic (ar) حدسية جاكوبية		1
10	Greek (el) Εικασία του Ιακωβιανού		0

More...

#	Language	Value
ar	Arabic حدسية جاكوبية
de	German Jacobi-Vermutung
el	Greek Εικασία του Ιακωβιανού
en	English Jacobian conjecture
es	Spanish Conjetura jacobiana
fr	French Conjecture jacobienne
ja	Japanese ヤコビアン予想
nl	Dutch Jacobiaans vermoeden
ru	Russian Проблема якобиана
zh	Chinese 雅可比猜想

Best Rank

English: #202690 04.2019

Global: #324131 04.2019

Best Rank

English: #43823 06.2018

Global: #60431 04.2024

On 10 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Ghislaine Maxwell, Ilia Malinin, Bad Bunny, 2026 Winter Olympics, Epstein files, Jutta Leerdam, Jake Paul, Puerto Rico, Little Saint James.

In English Wikipedia the most popular articles on that day were: Bad Bunny, Jeffrey Epstein, Epstein files, Ilia Malinin, Savannah Guthrie, Ghislaine Maxwell, 2026 Winter Olympics, List of Super Bowl halftime shows, Eileen Gu, Jutta Leerdam.

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