Partial-Fraction Decompositions and Harmonic Number Identities
Combinatorics
2007-05-23 v2 Number Theory
Abstract
By means of partial fraction method, we investigate the decomposition of rational functions. Several striking identities on harmonic numbers and generalized Apery numbers will be established, including the binomial-harmonic number identity associated with Beukers' conjecture on Apery numbers.
Cite
@article{arxiv.math/0502537,
title = {Partial-Fraction Decompositions and Harmonic Number Identities},
author = {Wenchang Chu},
journal= {arXiv preprint arXiv:math/0502537},
year = {2007}
}
Comments
11 pages