Partitions into Parts Simultaneously Regular, Distinct, And/or Flat

Document Type

Conference Proceeding

Publication Date

1-14-2018

Department

Department of Mathematical Sciences

Abstract

We explore partitions that lie in the intersection of several sets of classical interest: partitions with parts indivisible by m, appearing fewer than m times, or differing by less than m. We find results on their behavior and generating functions: more results for those simultaneously regular and distinct, fewest for those distinct and flat. We offer some conjectures in the area.

Publication Title

Springer Proceedings in Mathematics and Statistics

ISBN

978-3-319-68032-3

Share

COinS