@article{a6b81535d0ff4fbdb1e1dd7059c55993,
title = "Quiver mutation sequences and q-binomial identities",
abstract = "In this article, first we introduce a quantity called a partition function for a quiver mutation sequence. The partition function is a generating function whose weight is a q-binomial associated with each mutation. Then, we show that the partition function can be expressed as a ratio of products of quantum dilogarithms. This provides a systematic way of constructing various q-binomial multisum identities.",
author = "Akishi Kato and Yuma Mizuno and Yuji Terashima",
note = "Funding Information: This work is partially supported by the Japan Society for the Promotion of Science (JSPS) Grants-in-Aid for Scientific Research (KAKENHI) [JP16K13752, JP16H03931, 25400083], and by Japan Science and Technology Agency (JST) Core Research for Evolutionary Science and Technology (CREST) [JPMJCR14D6]. Publisher Copyright: {\textcopyright} The Author(s) 2017. Published by Oxford University Press. All rights reserved.",
year = "2018",
month = dec,
day = "4",
doi = "10.1093/imrn/rnx108",
language = "English",
volume = "2018",
pages = "7335--7358",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",
number = "23",
}