3 papers
math.CO2025
Colored base-3 partitions, sequences of polynomials, and perfect numbers
Karl Dilcher, Larry Ericksen
Motivated by the observation that the counting function of a certain base-3 colored partition contains the even perfect numbers as a subsequence, we begin by defining a sequence of…
math.CO2024
Polynomials and algebraic curves related to certain binary and -ary overpartitions
Karl Dilcher, Larry Ericksen
We begin by considering a sequence of polynomials in three variables whose coefficients count restricted binary overpartitions with certain properties. We then concentrate on two s…
math.NT2019
Polynomial analogues of restricted multicolor b-ary partition functions
Karl Dilcher, Larry Ericksen
Given an integer base , a number of colors, and a finite sequence of positive integers, we introduce the concept of a -restricted -col…