Parity in partition identities

被引：0
作者：
George E. Andrews
机构：
[1] The Pennsylvania State University,Department of Mathematics
来源：
The Ramanujan Journal | 2010年 / 23卷
关键词：
Partitions; Rogers-Ramanujan; Parity index; 11P83; 11P81; 05A19; 05A17;
D O I：
暂无
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学科分类号：
摘要：
This paper considers a variety of parity questions connected with classical partition identities of Euler, Rogers, Ramanujan and Gordon. We begin by restricting the partitions in the Rogers-Ramanujan-Gordon identities to those wherein even parts appear an even number of times. We then take up questions involving sequences of alternating parity in the parts of partitions. This latter study leads to: (1) a bi-basic q-binomial theorem and q-binomial series, (2) a new interpretation of the Rogers-Ramanujan identities, and (3) a new natural interpretation of the fifth-order mock theta functions f0(q) along with a new proof of the Hecke-type series representation.
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页码：45 / 90
页数：45
相关论文
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