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

Link to Full Text

Share

COinS