Timeline for How to rearrange only negative part of a conditionally convergent series to get any sum greater then initial?
Current License: CC BY-SA 2.5
11 events
| when toggle format | what | by | license | comment | |
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| Nov 29, 2010 at 5:33 | vote | accept | Georgii | ||
| Nov 29, 2010 at 5:33 | |||||
| Nov 29, 2010 at 3:15 | comment | added | Pete L. Clark | @Andy: no worries. | |
| Nov 29, 2010 at 2:31 | comment | added | Andy Putman | Whoops, there were several votes to close already so I didn't read the question as closely as I should have. Sorry! | |
| Nov 29, 2010 at 1:45 | answer | added | Andrés E. Caicedo | timeline score: 12 | |
| Nov 29, 2010 at 0:46 | history | reopened |
José Figueroa-O'Farrill Joel David Hamkins Akhil Mathew Qiaochu Yuan HJRW |
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| Nov 28, 2010 at 23:28 | comment | added | Pete L. Clark | This extension of the Riemann Rearrangement Theorem is due to W. Sierpinski. It was established in a 1911 paper, Sur une propriété des séries qui ne sont pas absolument convergentes. From what I recall the proof is indeed more involved than the usual rearrangement argument. (I am not quite sure why the question was closed.) | |
| Nov 28, 2010 at 17:33 | comment | added | Georgii | The statement I wrote about isn't a Riemann's theorem, which is well known. I consider only the permutations of NEGATIVE part of the series. In this case the proof of Riemann's theorem fails. | |
| Nov 28, 2010 at 16:58 | history | closed |
Andrés E. Caicedo Andy Putman Nate Eldredge Bill Johnson Robin Chapman |
too localized | |
| Nov 28, 2010 at 15:54 | comment | added | Andy Putman | This site is intended for research-level mathematics. The FAQ lists a number of other sites (eg math.stackexchange.com) which are more appropriate for lower-level questions like this. FYI, your question is answered in Rudin's "Principles of mathematical analysis". | |
| Nov 28, 2010 at 15:51 | comment | added | J. M. isn't a mathematician | Have you seen en.wikipedia.org/wiki/Riemann_series_theorem already? | |
| Nov 28, 2010 at 15:35 | history | asked | Georgii | CC BY-SA 2.5 |