منابع مشابه
New Multiple Harmonic Sum Identities
We consider a special class of binomial sums involving harmonic numbers and we prove three identities by using the elementary method of the partial fraction decomposition. Some applications to infinite series and congruences are given.
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We determine the explicit formulas for the sum of products of homogeneous multiple harmonic sums ∑n k=1 ∏r j=1Hk({1} ) when ∑r j=1 λj ≤ 5. We apply these identities to the study of two congruences modulo a power of a prime.
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2014
ISSN: 1077-8926
DOI: 10.37236/3946