Partial-Fraction Decompositions and Harmonic Number Identities

Details Partial-Fraction Decompositions and Harmonic Number Identities Partial-Fraction Decompositions and Harmonic Number Identities

2005-02-25

arxiv.org/abs/math/0502537v2

Mathematics

Combinatorics

11 pages

Scientific paper

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.

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