Relative symmetric polynomials and money change problem

• Date: 2018
• Main Author: Shahryari, M.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Money change problem; Partitions of integers; Relative symmetric polynomials; Symmetric groups; Complex characters; Primary 05A17; Secondary 05E05 and 15A69
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1162
• Journal Title: Algebra and Discrete Mathematics

This article is devoted to the number of non-negative solutions of the linear Diophantine equation\[a_1t_1+a_2t_2+\cdots +a_nt_n=d,\]where \(a_1, \ldots, a_n\), and \(d\) are positive integers. We  obtain a relation between the number of solutions of this equation and characters of the symmetric gro...