Sharp Bounds for the Harmonic Numbers

Details Sharp Bounds for the Harmonic Numbers Sharp Bounds for the Harmonic Numbers

2005-10-27

arxiv.org/abs/math/0510585v3

Mathematics

Classical Analysis and ODEs

7 pages. Typos corrected. Several improvements in the exposition. Considerable strengthening of theorem 3 on the DeTemple-Wang

Scientific paper

We obtain best possible upper and lower bounds for the Lodge-Ramanujan and
DeTemple-Wang approximations to the nth Harmonic Number

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