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Séminaire Lotharingien de Combinatoire, B63g (2010), 8 pp.

# Roberto Tauraso

# New Harmonic Number Identities with Applications

**Abstract.**
We determine the explicit formulas for the sum of products of homogeneous multip
le
harmonic sums
when
.
We apply these identities to the study of two congruences modulo a power of a pr
ime.

Received: February 3, 2010.
Accepted: June 11, 2010.

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