author = {Ali Kemal Uncu},
title = {{On double sum generating functions in connection with some classical partition theorems }},
language = {english},
abstract = { We focus on writing closed forms of generating functions for the number of partitions with gap conditions as double sums starting from a combinatorial construction. Some examples of the sets of partitions with gap conditions to be discussed here are the set of Rogers--Ramanujan, Göllnitz--Gordon, and little Göllnitz partitions. This work also includes finding the finite analogs of the related generating functions and the discussion of some related series and polynomial identities. Additionally, we present a different construction and a double sum representation for the products similar to the ones that appear in the Rogers--Ramanujan identities. },
journal = {ArXiv e-prints},
pages = {1--20},
isbn_issn = {N/A},
year = {2018},
refereed = {yes},
length = {20}