Partial-Fraction Decompositions and Harmonic Number Identities
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math.NT
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numbersaperyharmonicidentitiesnumberassociatedbeukersbinomial-harmonic
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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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