A general class of Schmidt theorems
Document Type
Article
Publication Date
6-2023
Department
Department of Mathematical Sciences
Abstract
Schmidt's theorem is significantly generalized, to partitions in which periodic but otherwise arbitrary subsets of parts are counted or uncounted. The identification of such sets of partitions with colored partitions satisfying certain specifications may be a generally useful tool for establishing sum-product q-series identities, several examples of which are given.
Publication Title
Journal of Number Theory
Recommended Citation
Andrews, G.,
&
Keith, W.
(2023).
A general class of Schmidt theorems.
Journal of Number Theory,
247, 75-99.
http://doi.org/10.1016/j.jnt.2022.12.006
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/16871
