Formal power series

Formal power series - generalization of a polynomial, where the number of terms is allowed to be infinite, defined algebraically without consideration of convergence (so that e.g. evaluation is not always defined). Article “Formal power series” in English Wikipedia has 43.1 points for quality (as of July 1, 2025). The article contains 16 references and 31 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 4.79 points.

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 “Formal power series” was edited by 2 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article “Formal power series”, its content was written by 125 registered users of English Wikipedia and edited by 343 registered Wikipedia users in all languages.

The article is cited 358 times in English Wikipedia and cited 1139 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #311 in February 2003
• Global: #1270 in February 2003

The highest popularity rank from 2008:

• Local (English): #150718 in April 2015
• Global: #195937 in October 2014

There are 19 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	English (en) Formal power series		43.1428
2	Czech (cs) Formální mocninná řada		34.7124
3	German (de) Formale Potenzreihe		33.0517
4	Galician (gl) Serie formal de potencias		31.2276
5	French (fr) Série formelle		22.0142
6	Persian (fa) سری توانی صوری		19.8115
7	Italian (it) Serie formale di potenze		19.0899
8	Korean (ko) 형식적 멱급수		15.1158
9	Vietnamese (vi) Chuỗi lũy thừa hình thức		13.7924
10	Romanian (ro) Serie formală		13.0644

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

The most popular language versions of the article "Formal power series" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Formal power series		831 887
2	German (de) Formale Potenzreihe		81 865
3	French (fr) Série formelle		71 863
4	Japanese (ja) 形式的冪級数		50 124
5	Spanish (es) Serie formal de potencias		49 244
6	Italian (it) Serie formale di potenze		43 805
7	Russian (ru) Формальный степенной ряд		38 261
8	Chinese (zh) 形式幂级数		24 434
9	Korean (ko) 형식적 멱급수		8 988
10	Hungarian (hu) Formális hatványsor		6 196

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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 "Formal power series" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Formal power series		3 214
2	Japanese (ja) 形式的冪級数		598
3	French (fr) Série formelle		302
4	German (de) Formale Potenzreihe		244
5	Chinese (zh) 形式幂级数		109
6	Russian (ru) Формальный степенной ряд		108
7	Spanish (es) Serie formal de potencias		78
8	Italian (it) Serie formale di potenze		72
9	Korean (ko) 형식적 멱급수		48
10	Romanian (ro) Serie formală		25

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

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

#	Language	AI award	Relative AI
1	English (en) Formal power series		125
2	French (fr) Série formelle		59
3	Italian (it) Serie formale di potenze		45
4	German (de) Formale Potenzreihe		31
5	Hungarian (hu) Formális hatványsor		19
6	Russian (ru) Формальный степенной ряд		10
7	Spanish (es) Serie formal de potencias		8
8	Japanese (ja) 形式的冪級数		8
9	Ukrainian (uk) Формальний степеневий ряд		6
10	Chinese (zh) 形式幂级数		5

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

Language versions of the article "Formal power series" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Formal power series		2
2	Catalan (ca) Sèrie formal de potències		0
3	Czech (cs) Formální mocninná řada		0
4	German (de) Formale Potenzreihe		0
5	Esperanto (eo) Formala potencoserio		0
6	Spanish (es) Serie formal de potencias		0
7	Persian (fa) سری توانی صوری		0
8	French (fr) Série formelle		0
9	Galician (gl) Serie formal de potencias		0
10	Hebrew (he) שדה טורי החזקות הפורמליים		0

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

Language versions of the article "Formal power series" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Formal power series		358
2	Italian (it) Serie formale di potenze		153
3	French (fr) Série formelle		109
4	Korean (ko) 형식적 멱급수		88
5	Japanese (ja) 形式的冪級数		63
6	Chinese (zh) 形式幂级数		53
7	German (de) Formale Potenzreihe		51
8	Persian (fa) سری توانی صوری		41
9	Spanish (es) Serie formal de potencias		38
10	Ukrainian (uk) Формальний степеневий ряд		38

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#	Language	Value
ca	Catalan Sèrie formal de potències
cs	Czech Formální mocninná řada
de	German Formale Potenzreihe
en	English Formal power series
eo	Esperanto Formala potencoserio
es	Spanish Serie formal de potencias
fa	Persian سری توانی صوری
fr	French Série formelle
gl	Galician Serie formal de potencias
he	Hebrew שדה טורי החזקות הפורמליים
hu	Hungarian Formális hatványsor
it	Italian Serie formale di potenze
ja	Japanese 形式的冪級数
ko	Korean 형식적 멱급수
ro	Romanian Serie formală
ru	Russian Формальный степенной ряд
uk	Ukrainian Формальний степеневий ряд
vi	Vietnamese Chuỗi lũy thừa hình thức
zh	Chinese 形式幂级数

Best Rank

English: #150718 04.2015

Global: #195937 10.2014

Best Rank

English: #311 02.2003

Global: #1270 02.2003

On 21 December 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Anthony Joshua, James Ransone, Avatar: Fire and Ash, Jake Paul, Wake Up Dead Man, Stranger Things, Ghislaine Maxwell, Avatar, Avatar: The Way of Water.

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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