Relative symmetric polynomials and money change problem

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2013
• 1. Verfasser: Shahryari, M.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2013
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/152353
• 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.

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...