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1 Introduction For any positive integer n , let H n = 1 + 1 2 + 1 3 + … + 1 n = u n υ n ,   ( u n , υ n ) = 1 ,   υ n > 0. The number H n is called the n-th harmonic number . There is a series of articles on the properties of harmonic numbers

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Abstract  

Some identities of sums associated with harmonic numbers and binomial coefficients are developed. Integral representations and closed form identities of these sums are also given.

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