Examples of finite $p$-divisible sets of MHS

TL;DR

This paper presents specific examples of finite p-divisible sets of multiple harmonic sums, supporting conjectures from a prior work and providing evidence for their validity.

Contribution

It offers concrete examples that support conjectures about the finiteness of p-divisible sets of multiple harmonic sums, complementing previous theoretical results.

Findings

Examples supporting conjectures on p-divisible sets

Evidence for finiteness of certain multiple harmonic sums

Reinforcement of theoretical results from prior work

Abstract

We provide some examples which give evidence to the conjectures contained in my paper "Finiteness of $p$-Divisible Sets of Multiple Harmonic Sums" (math.NT/0303043). All the main theoretical results can be found in that paper.