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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| Дата: | 2013 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2013
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152353 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Relative symmetric polynomials and money change problem / M. Shahryari // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 287–292. — Бібліогр.: 3 назв. — англ. |
Репозитарії
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irk-123456789-1523532019-06-11T01:24:59Z Relative symmetric polynomials and money change problem Shahryari, M. 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. 2013 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/152353 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Shahryari, M. |
| spellingShingle |
Shahryari, M. Relative symmetric polynomials and money change problem Algebra and Discrete Mathematics |
| author_facet |
Shahryari, M. |
| author_sort |
Shahryari, M. |
| title |
Relative symmetric polynomials and money change problem |
| title_short |
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_sort |
relative symmetric polynomials and money change problem |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152353 |
| 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. |
| series |
Algebra and Discrete Mathematics |
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AT shahryarim relativesymmetricpolynomialsandmoneychangeproblem |
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2023-05-20T17:38:07Z |
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2023-05-20T17:38:07Z |
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1796153740899647488 |