2 papers
math.CA2026
Properties of two Chebyshev-like polynomial sequences
Karl Dilcher, Seon-Hong Kim, Kenneth B. Stolarsky
By modifying the generating function of the Chebyshev polynomials of the second kind, we obtain a sequence of reciprocal (or palindromic) polynomials, as well as a related companio…
math.NT2025
A Balanced Three-term Generalization of Nicomachus' Identity
Seon-Hong Kim, Kenneth B. Stolarsky
We present a generalization of the classical Nicomachus' identity for the sum of the first cubes. Unlike previous generalizations, it has three rather than two terms, and invol…