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Some Generalized Harmonic Number Identities

open access: yes, 2011
Added examples, computer program and some textual ...
openaire   +2 more sources

New congruences involving harmonic numbers

open access: yes, 2014
Let $p>3$ be a prime. For any $p$-adic integer $a$, we determine $$\sum_{k=0}^{p-1}\binom{-a}k\binom{a-1}kH_k,\ \ \sum_{k=0}^{p-1}\binom{-a}k\binom{a-1}kH_k^{(2)},\ \ \sum_{k=0}^{p-1}\binom{-a}k\binom{a-1}k\frac{H_k^{(2)}}{2k+1}$$ modulo $p^2$, where $H_k=\sum_ ...
openaire   +2 more sources

Estimating Effective Number of Breeders Under the Heterozygote-Excess Equilibrium. [PDF]

open access: yesMol Ecol Resour
Yang B   +11 more
europepmc   +1 more source

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