@inbook{d9a64ff2f51d41e3955456a8c9c84807,
title = "Lecture hall sequences, q-series, and asymmetric partition identities",
abstract = "We use generalized lecture hall partitions to discover a new pair of q-series identities. These identities are unusual in that they involve partitions into parts from asymmetric residue classes, much like the little G{\"o}llnitz partition theorems. We derive a two-parameter generalization of our identities that, surprisingly, gives new analytic counterparts of the little G{\"o}llnitz theorems. Finally, we show that the little G{\"o}llnitz theorems also involve {"}lecture hall sequences,{"} that is, sequences constrained by the ratio of consecutive parts.",
keywords = "G{\"o}llnitz partition theorems, Lecture hall partitions, Q-gauss summation, Q-series identities",
author = "Sylvie Corteel and Savage, {Carla D.} and Sills, {Andrew V.}",
year = "2012",
doi = "10.1007/978-1-4614-0028-8_6",
language = "English",
isbn = "9781461400271",
series = "Developments in Mathematics",
pages = "53--68",
editor = "KRISHNASWAMI ALLADI and FRANK GARVAN",
booktitle = "PARTITIONS, Q-SERIES, AND MODULAR FORMS",
}