Timeline for Bounds for generalized harmonic numbers
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 1, 2011 at 19:52 | vote | accept | ESultanik | ||
| Feb 28, 2011 at 21:20 | comment | added | ESultanik | Thanks Stopple, that is exactly for what I was looking. I also found a number of results by Batir and Alzer on bounding the Hurwitz Zeta function (which would of course provide a bound on the generalized harmonic numbers), however, their results are limited to $r \geq 1$. | |
| Feb 28, 2011 at 21:15 | answer | added | Micah Milinovich | timeline score: 10 | |
| Feb 28, 2011 at 21:03 | comment | added | Stopple | See Apostol's Introduction to Analytic Number Theory, Theorem 3.2 (b). (The proof shows that the implied constant in his Big Oh error can be taken to be 1.) Thus your sum is bounded by $2n^{1/2}+\zeta(1/2)+n^{-1/2}$ | |
| Feb 28, 2011 at 20:08 | history | asked | ESultanik | CC BY-SA 2.5 |