Parity in partition identities |
| |
Authors: | George E. Andrews |
| |
Affiliation: | 1. Department of Mathematics, The Pennsylvania State University, University Park, PA, 16802, USA
|
| |
Abstract: | 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 f 0(q) along with a new proof of the Hecke-type series representation. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|