Proofs of some conjectures on monotonicity of number-theoretic and combinatorial sequences
arXiv:1303.5595 · doi:10.1007/s11425-014-4851-x
Abstract
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.
revised Theorem 2.1 (iii), 10 pages