Timeline for Error term for prime harmonic
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 5, 2015 at 21:18 | comment | added | Terry Tao | Some related discussion is at mathoverflow.net/questions/95743/… . Actually, I think from summation by parts that the error term should basically be the error term in the prime number theorem divided by x, thus $O(\exp( - c \log^{3/5} x / \log\log^{1/5} x ) )$ unconditionally, or $O( x^{-1/2} \log x )$ on RH (one may possibly be able to reduce the log factor a bit). | |
| Jan 5, 2015 at 20:52 | comment | added | Will Jagy | yes, see mathoverflow.net/questions/180725/… | |
| Jan 5, 2015 at 20:50 | comment | added | Will Jagy | Could be. Having more than one author seems right, also the title is promising. Let me try a few pages online... | |
| Jan 5, 2015 at 20:48 | comment | added | Charles | @WillJagy: Mitrinović et. al.'s Handbook of Number Theory? | |
| Jan 5, 2015 at 20:47 | vote | accept | Charles | ||
| Jan 5, 2015 at 20:45 | comment | added | Will Jagy | there is also some two or three volume thing which is entirely identities and estimates in number theory. I borrowed one volume once but cannot remember author(s). Just a list of results with individual references. | |
| Jan 5, 2015 at 20:44 | comment | added | Will Jagy | Bach and Shallit include a list of many useful estimates, title is probably Algorithmic Number Theory. | |
| Jan 5, 2015 at 20:39 | answer | added | Steven Stadnicki | timeline score: 5 | |
| Jan 5, 2015 at 20:25 | history | asked | Charles | CC BY-SA 3.0 |