Binomial transforms and integer partitions into parts of k different magnitudes

被引：0
作者：
Mircea Merca
机构：
[1] Academy of Romanian Scientists,
来源：
The Ramanujan Journal | 2018年 / 46卷
关键词：
Binomial transform; Integer partitions; Symplectic group; 05E15; 05A19; 05A17;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A relationship between the general linear group of degree n over a finite field and the integer partitions of n into parts of k different magnitudes was investigated recently by the author. In this paper, we use a variation of the classical binomial transform to derive a new connection between partitions into parts of k different magnitudes and another finite classical group, namely the symplectic group Sp. New identities involving the number of partitions of n into parts of k different magnitudes are introduced in this context.
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页码：765 / 774
页数：9
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