3 citations · 3 across the 4 of their papers we have counts for
Showing math.NTShow all
2 papers · 1 filter
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…
math.NT2023
Translations and extensions of the Nicomachus identity
Seon-Hong Kim, Kenneth B. Stolarsky
We search for Nicomachean identities by adding translation parameters, variable parameters, sequence products and adjoining further numbers to sequences. The solutions of definite…