On the \(m\)-ary partition numbers
We give explicit formulas and recurrences for the \(m\)-ary partition numbers and relate them to Toeplitz-Hessenberg determinants. Some of these results are direct analogues of similar statements for the classical (unrestricted) partition numbers.
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| Date: | 2018 |
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| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1177 |
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| Journal Title: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-11772018-05-17T07:50:53Z On the \(m\)-ary partition numbers Kachi, Yasuyuki Tzermias, Pavlos \(m\)-ary partition numbers, generating functions,Toeplitz-Hessenberg determinants 05A17, 11P81 We give explicit formulas and recurrences for the \(m\)-ary partition numbers and relate them to Toeplitz-Hessenberg determinants. Some of these results are direct analogues of similar statements for the classical (unrestricted) partition numbers. Lugansk National Taras Shevchenko University 2018-05-17 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1177 Algebra and Discrete Mathematics; Vol 19, No 1 (2015) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1177/666 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-05-17T07:50:53Z |
| collection |
OJS |
| language |
English |
| topic |
\(m\)-ary partition numbers generating functions,Toeplitz-Hessenberg determinants 05A17 11P81 |
| spellingShingle |
\(m\)-ary partition numbers generating functions,Toeplitz-Hessenberg determinants 05A17 11P81 Kachi, Yasuyuki Tzermias, Pavlos On the \(m\)-ary partition numbers |
| topic_facet |
\(m\)-ary partition numbers generating functions,Toeplitz-Hessenberg determinants 05A17 11P81 |
| format |
Article |
| author |
Kachi, Yasuyuki Tzermias, Pavlos |
| author_facet |
Kachi, Yasuyuki Tzermias, Pavlos |
| author_sort |
Kachi, Yasuyuki |
| title |
On the \(m\)-ary partition numbers |
| title_short |
On the \(m\)-ary partition numbers |
| title_full |
On the \(m\)-ary partition numbers |
| title_fullStr |
On the \(m\)-ary partition numbers |
| title_full_unstemmed |
On the \(m\)-ary partition numbers |
| title_sort |
on the \(m\)-ary partition numbers |
| description |
We give explicit formulas and recurrences for the \(m\)-ary partition numbers and relate them to Toeplitz-Hessenberg determinants. Some of these results are direct analogues of similar statements for the classical (unrestricted) partition numbers. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1177 |
| work_keys_str_mv |
AT kachiyasuyuki onthemarypartitionnumbers AT tzermiaspavlos onthemarypartitionnumbers |
| first_indexed |
2025-12-02T15:25:03Z |
| last_indexed |
2025-12-02T15:25:03Z |
| _version_ |
1850411836650815488 |