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Relative symmetric polynomials and money change problem

Relative symmetric polynomials and money change problem

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...

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Bibliographic Details
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
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