Timeline for Is $\liminf \frac{\sigma_{k}(({2}^{m-1})({2^m-1}))}{\phi_{k}(({2}^{m-1})({2^m-1}))}$ finite for every $k$?
Current License: CC BY-SA 3.0
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Dec 30, 2015 at 16:25 | comment | added | zeraoulia rafik | I don't know , it's seems to poste a new question here to know for which values it hold | |
| Dec 29, 2015 at 21:48 | comment | added | Gerhard Paseman | I think the equation in that note fails for many values of m and k. Can you tell for k=2 or 3 some m for which it holds? Gerhard "Really, Try Some Small Examples" Paseman, 2015.12.29 | |
| Dec 29, 2015 at 21:43 | comment | added | zeraoulia rafik | @Gerahrd paseman, my point of starting to proof this problem in "note (02) in the question | |
| Dec 29, 2015 at 21:39 | history | edited | Gerhard Paseman | CC BY-SA 3.0 |
added 25 characters in body
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| Dec 29, 2015 at 21:30 | comment | added | Gerhard Paseman | A good start would be analyzing the numerics for k=1: what is the shape of the point cloud for (m, ratio(m)) for the first million m? It is not clear to me that lim sup of the ratio is unbounded for arbitrary m. Similarly for k=2 and 3. Gerhard "See If WolframAlpha Eats It" Paseman, 2015.12.29 | |
| Dec 29, 2015 at 21:20 | history | answered | Gerhard Paseman | CC BY-SA 3.0 |