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arxiv: 1303.5595 · v2 · pith:CYUE34ZBnew · submitted 2013-03-22 · 🧮 math.CO

Proofs of some conjectures on monotonicity of number-theoretic and combinatorial sequences

classification 🧮 math.CO
keywords conjecturesmonotonicitysequencesamdeberhanapproachescertaincombinatorialdeal
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We develop techniques to deal with monotonicity of sequences z_{n+1}/z_n and \sqrt[n]{z_n}. A series of conjectures of Zhi-Wei Sun and of Amdeberhan et al. are verified in certain unified approaches.

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