Indexed metadata
A determinant formula for multiple harmonic sums and their linear independence
Minoru Hirose, Hideki Murahara, Shingo Saito
Source abstract
We explicitly evaluate a family of determinants whose entries are multiple harmonic sums. As a consequence, we prove that certain finite sequences of multiple harmonic sums are linearly independent. This result strengthens the previously known linear independence of the corresponding infinite sequences and stands in contrast to the abundance of linear relations among multiple zeta values.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.