3 papers
math.CO2026
Identities that represent powers of positive integers using multinomial coefficients
Shoichi Kamada
In this paper, we show combinatorial identities that represent powers of positive integers using multinomial coefficients, which do not come from the multinomial theorem and the mu…
math.CO2023
On the construction of a family of sets of positive integers closed under taking subsets
Shoichi Kamada
In the several contexts such as combinatorial number theory, families of sets of positive integers closed under taking subsets have been investigated. Then it is sometimes useful t…
math.CO2018
Fractal and Multi-Fractal Analysis for A Family of Subset Sum Functions: Combinatorial Structures of Embedding Dimension
Shoichi Kamada
We introduce two frameworks in order to deal with fractal and multi-fractal analysis for subset sum problems where some embedding into the -dimensional Euclidean space plays an…