Larry Ericksen

Affiliation: NJ

Title Of Talk: Multicolor overpartitions in arbitrary bases - Number sequences and polynomial analogues

URLS:
NULL

Abstract: We discuss the combinatorics of overpartitions in any base representation. Their parts are expressed in a fixed number of colors, and we consider restrictions on the number of parts in each color. From specific subsets of the overpartitions, we obtain certain special integer sequences. We analyze polynomial analogues of the partitions with generating functions, recursions, and Chebyshev polynomials. We consider several sequences of single-variable polynomials that have meaningful combinatorial interpretations as well as interesting zero distributions This is joint work with Karl Dilcher.

WARNING: This page contains MATH-JAX

Last update made Tue Mar 10 21:28:03 CDT 2026.
Please report problems to: fgarvan@ufl.edu