On harmonic numbers and Lucas sequences

Details On harmonic numbers and Lucas sequences On harmonic numbers and Lucas sequences

2010-01-04

arxiv.org/abs/1001.0348v2

Mathematics

Number Theory

17 pages. To apapear in Publ. Math. Debrecen 79(2011)

Scientific paper

Harmonic numbers $H_k=\sum_{05 we have $$\sum_{k=0}^{p-1}u_{k+\delta}H_k/2^k=0 (mod p),$$ where $\delta=0$ if p=1,2,4,8 (mod 15), and $\delta=1$ otherwise.

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