2013/02/27 by Kurşungöz, Kağan
#05A17 #11P84 #Combinatorics (math.CO) #FOS: Mathematics #Primary 05A15 #Secondary 05A19
paper · doi:10.48550/arxiv.1302.6702
We propose a method to construct a variety of partition identities at once. The main application is an all-moduli generalization of some of Andrews' results in [5]. The novelty is that the method constructs solutions to functional equations which are satisfied by the generating functions. In contrast, the conventional approach is to show that a variant of well-known series satisfies the system of functional equations, thus reconciling two separate lines of computations.