Finite $q$-multiple harmonic sums on $2-\cdots-2,1-\cdots-1$ indices
Number Theory
2026-01-30 v1
Abstract
There are many results for explicit expressions about -multiple zeta values or -harmonic sums on indices, that is, the indices are the same. Though the way to treat -multiple zeta values unless the indices are the same, it has been successful to get the explicit expression of -harmonic sums on indices. In this paper, we shall consider more general results when the ratio of indices of to indices of increases.
Cite
@article{arxiv.2601.21395,
title = {Finite $q$-multiple harmonic sums on $2-\cdots-2,1-\cdots-1$ indices},
author = {Zikang Dong and Takao Komatsu},
journal= {arXiv preprint arXiv:2601.21395},
year = {2026}
}