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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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| 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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Algebra and Discrete Mathematics| _version_ | 1856543286831874048 |
|---|---|
| author | Kachi, Yasuyuki Tzermias, Pavlos |
| author_facet | Kachi, Yasuyuki Tzermias, Pavlos |
| author_sort | Kachi, Yasuyuki |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-17T07:50:53Z |
| 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. |
| first_indexed | 2025-12-02T15:25:03Z |
| format | Article |
| id | admjournalluguniveduua-article-1177 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:25:03Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | 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 |
| spellingShingle | \(m\)-ary partition numbers generating functions,Toeplitz-Hessenberg determinants 05A17 11P81 Kachi, Yasuyuki Tzermias, Pavlos On the \(m\)-ary partition numbers |
| title | 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_short | On the \(m\)-ary partition numbers |
| title_sort | on the \(m\)-ary partition numbers |
| topic | \(m\)-ary partition numbers generating functions,Toeplitz-Hessenberg determinants 05A17 11P81 |
| topic_facet | \(m\)-ary partition numbers generating functions,Toeplitz-Hessenberg determinants 05A17 11P81 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1177 |
| work_keys_str_mv | AT kachiyasuyuki onthemarypartitionnumbers AT tzermiaspavlos onthemarypartitionnumbers |