2 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…