Open Access Senior Thesis
Bachelor of Science
We seek to discover combinatorial explanations of known identities involving harmonic numbers. Harmonic numbers do not readily lend themselves to combinatorial interpretation, since they are sums of fractions, and combinatorial arguments involve counting whole objects. It turns out that we can transform these harmonic identities into new identities involving Stirling numbers, which are much more apt to combinatorial interpretation. We have proved four of these identities, the first two being special cases of the third.
Preston, Greg, "Combinatorial Explanations of Known Harmonic Identities" (2001). HMC Senior Theses. 134.