Relative symmetric polynomials and money change problem
This article is devoted to the number of non-negative solutions of the linear Diophantine equation a₁t₁ + a₂t₂ + ⋯ + antn = d, where a₁,…,an, and d are positive integers. We obtain a relation between the number of solutions of this equation and characters of the symmetric group, using relative symme...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2013 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152353 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Relative symmetric polynomials and money change problem / M. Shahryari // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 287–292. — Бібліогр.: 3 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862665354235346944 |
|---|---|
| author | Shahryari, M. |
| author_facet | Shahryari, M. |
| citation_txt | Relative symmetric polynomials and money change problem / M. Shahryari // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 287–292. — Бібліогр.: 3 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | This article is devoted to the number of non-negative solutions of the linear Diophantine equation a₁t₁ + a₂t₂ + ⋯ + antn = d, where a₁,…,an, and d are positive integers. We obtain a relation between the number of solutions of this equation and characters of the symmetric group, using relative symmetric polynomials. As an application, we give a necessary and sufficient condition for the space of the relative symmetric polynomials to be non-zero.
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| first_indexed | 2025-12-07T15:16:37Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152353 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T15:16:37Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Shahryari, M. 2019-06-10T11:10:02Z 2019-06-10T11:10:02Z 2013 Relative symmetric polynomials and money change problem / M. Shahryari // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 287–292. — Бібліогр.: 3 назв. — англ. 1726-3255 2010 MSC:Primary 05A17, Secondary 05E05 and 15A69. https://nasplib.isofts.kiev.ua/handle/123456789/152353 This article is devoted to the number of non-negative solutions of the linear Diophantine equation a₁t₁ + a₂t₂ + ⋯ + antn = d, where a₁,…,an, and d are positive integers. We obtain a relation between the number of solutions of this equation and characters of the symmetric group, using relative symmetric polynomials. As an application, we give a necessary and sufficient condition for the space of the relative symmetric polynomials to be non-zero. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Relative symmetric polynomials and money change problem Article published earlier |
| spellingShingle | Relative symmetric polynomials and money change problem Shahryari, M. |
| title | Relative symmetric polynomials and money change problem |
| title_full | Relative symmetric polynomials and money change problem |
| title_fullStr | Relative symmetric polynomials and money change problem |
| title_full_unstemmed | Relative symmetric polynomials and money change problem |
| title_short | Relative symmetric polynomials and money change problem |
| title_sort | relative symmetric polynomials and money change problem |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152353 |
| work_keys_str_mv | AT shahryarim relativesymmetricpolynomialsandmoneychangeproblem |