@inproceedings{3bf9c191c4064ffa9cc5d3910c721ed8,

title = "The Alladi–Schur polynomials and their factorization",

abstract = "K. Alladi first observed the following variant of I. Schur{\textquoteright}s 1926 partition theorem. Namely, the number of partitions of n in which all parts are odd and none appears more than twice equals the number of partitions of n in which all parts differ by at least 3 and more than 3 if one of the parts is a multiple of 3. Subsequently, the theorem was refined to count also the number of parts in the relevant partitions. In this paper, a surprising factorization of the related polynomial generating functions is developed.",

author = "Andrews, {George E.}",

note = "Funding Information: Partially supported by NSA Grant: #98230-12-1-0205. Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017.; International Gainesville Number Theory Conference in Honor of Krishna Alladi{\textquoteright}s 60th Birthday, 2016 ; Conference date: 17-03-2016 Through 21-03-2016",

year = "2017",

doi = "10.1007/978-3-319-68376-8_3",

language = "English (US)",

isbn = "9783319683751",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer New York LLC",

pages = "25--38",

editor = "Andrews, {George E.} and Frank Garvan",

booktitle = "Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi{\textquoteright}s 60th Birthday, 2016",

}