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, 2026). 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.

Since the creation of article “Formal power series”, its content was written by 133 registered users of English Wikipedia and edited by 358 registered Wikipedia users in all languages.

The article is cited 370 times in English Wikipedia and cited 1155 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #311 in February 2003
• Global: #1276 in February 2003

The highest popularity rank from 2008:

• Local (English): #151633 in April 2015
• Global: #199421 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, 2026 (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		43.0963
2	Czech (cs) Formální mocninná řada		34.4732
3	German (de) Formale Potenzreihe		32.9099
4	Galician (gl) Serie formal de potencias		31.263
5	French (fr) Série formelle		21.9907
6	Persian (fa) سری توانی صوری		19.5586
7	Italian (it) Serie formale di potenze		19.2137
8	Vietnamese (vi) Chuỗi lũy thừa hình thức		16.7865
9	Korean (ko) 형식적 멱급수		15.0998
10	Romanian (ro) Serie formală		13.0373

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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		867 338
2	German (de) Formale Potenzreihe		83 929
3	French (fr) Série formelle		75 082
4	Japanese (ja) 形式的冪級数		54 668
5	Spanish (es) Serie formal de potencias		50 021
6	Italian (it) Serie formale di potenze		44 655
7	Russian (ru) Формальный степенной ряд		40 518
8	Chinese (zh) 形式幂级数		26 161
9	Korean (ko) 형식적 멱급수		9 460
10	Hungarian (hu) Formális hatványsor		6 445

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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 2026

#	Language	Popularity award	Relative popularity
1	English (en) Formal power series		2 239
2	Japanese (ja) 形式的冪級数		301
3	French (fr) Série formelle		178
4	German (de) Formale Potenzreihe		148
5	Chinese (zh) 形式幂级数		101
6	Russian (ru) Формальный степенной ряд		92
7	Italian (it) Serie formale di potenze		77
8	Spanish (es) Serie formal de potencias		47
9	Korean (ko) 형식적 멱급수		27
10	Romanian (ro) Serie formală		24

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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		133
2	French (fr) Série formelle		60
3	Italian (it) Serie formale di potenze		45
4	German (de) Formale Potenzreihe		35
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		6

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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 2026

#	Language	AI award	Relative AI
1	Catalan (ca) Sèrie formal de potències		0
2	Czech (cs) Formální mocninná řada		0
3	German (de) Formale Potenzreihe		0
4	English (en) Formal power series		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		370
2	Italian (it) Serie formale di potenze		150
3	French (fr) Série formelle		116
4	Korean (ko) 형식적 멱급수		83
5	Japanese (ja) 形式的冪級数		61
6	German (de) Formale Potenzreihe		51
7	Chinese (zh) 形式幂级数		51
8	Ukrainian (uk) Формальний степеневий ряд		42
9	Spanish (es) Serie formal de potencias		40
10	Persian (fa) سری توانی صوری		40

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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: #151633 04.2015

Global: #199421 10.2014

Best Rank

English: #311 02.2003

Global: #1276 02.2003

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information