Takao Komatsu

collaborators

2 papers

math.NT2026

Finite $q$ -multiple harmonic sums with one exceptional index

Hideaki Ishikawa, Takao Komatsu

In this paper, we give explicit expressions about $q$ -harmonic sums on $1 - \dots - 1, A, 1 - \dots - 1$ indices. The case $A = 1$ has been extensively studied, and a variety of identities,…

math.NT2026

Finite $q$ -multiple harmonic sums at roots of unity: Symmetrized identities for $1$ - $2$ index multisets

Zikang Dong, Takao Komatsu

Closed-form results for finite $q$ -multiple harmonic sums are abundant for uniformly repeated indices, whereas mixed-weight tuples pose substantial combinatorial challenges. Buildi…

Finite q-multiple harmonic sums with one exceptional index

Finite q-multiple harmonic sums at roots of unity: Symmetrized identities for 1-2 index multisets

Finite $q$ -multiple harmonic sums with one exceptional index

Finite $q$ -multiple harmonic sums at roots of unity: Symmetrized identities for $1$ - $2$ index multisets