The growth function of the adding machine

We compute the growth function of the generalized adding machine and show that its generating function is not algebraic.

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Bibliographic Details
Published in:Algebra and Discrete Mathematics
Date:2018
Main Author: Skochko, V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2018
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/188365
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The growth function of the adding machine / V. Skochko // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 303–310. — Бібліогр.: 8 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Skochko, V.
author_facet Skochko, V.
citation_txt The growth function of the adding machine / V. Skochko // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 303–310. — Бібліогр.: 8 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description We compute the growth function of the generalized adding machine and show that its generating function is not algebraic.
first_indexed 2025-12-07T21:17:35Z
format Article
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id nasplib_isofts_kiev_ua-123456789-188365
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-12-07T21:17:35Z
publishDate 2018
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Skochko, V.
2023-02-25T15:07:52Z
2023-02-25T15:07:52Z
2018
The growth function of the adding machine / V. Skochko // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 303–310. — Бібліогр.: 8 назв. — англ.
1726-3255
2010 MSC: 20M35, 68Q70.
https://nasplib.isofts.kiev.ua/handle/123456789/188365
We compute the growth function of the generalized adding machine and show that its generating function is not algebraic.
The author would like to thank his advisor Ievgen Bondarenko for his help, guidance and time spent during discussions and corrections of this article.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
The growth function of the adding machine
Article
published earlier
spellingShingle The growth function of the adding machine
Skochko, V.
title The growth function of the adding machine
title_full The growth function of the adding machine
title_fullStr The growth function of the adding machine
title_full_unstemmed The growth function of the adding machine
title_short The growth function of the adding machine
title_sort growth function of the adding machine
url https://nasplib.isofts.kiev.ua/handle/123456789/188365
work_keys_str_mv AT skochkov thegrowthfunctionoftheaddingmachine
AT skochkov growthfunctionoftheaddingmachine