Relative symmetric polynomials and money change problem
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Relative symmetric polynomials and money change problem
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| Creator |
Shahryari, M.
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| 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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| Date |
2019-06-10T11:10:02Z
2019-06-10T11:10:02Z 2013 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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