@inbook{013c90918867450796f3b33b166fbd83,
title = "The Combinatorics of MacMahon{\textquoteright}s Partial Fractions",
abstract = "MacMahon showed that the generating function for partitions into at most k parts can be decomposed into a partial fraction-type sum indexed by the partitions of k. In the present work, a generalization of MacMahon{\textquoteright}s result is given, which in turn provides a full combinatorial explanation.",
keywords = "Compositions, Partition function, Partitions, Symmetric group",
author = "Sills, {Andrew V.}",
note = "Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG.",
year = "2021",
doi = "10.1007/978-3-030-57050-7_38",
language = "English",
series = "Trends in Mathematics",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "719--732",
booktitle = "Trends in Mathematics",
address = "Germany",
}