Timeline for For which $x$ and $y$ does $\sigma_x(n) $ divide $\sigma_y(n)$ for all $n$?
Current License: CC BY-SA 3.0
15 events
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| Jan 24, 2016 at 20:02 | comment | added | Gerhard Paseman | The most recent edit to the problem makes the problem clear and easier to solve (and, in my opinion, less appropriate for this forum). Another version, which is likely to be nore interesting and appropriate and belongs in a separate question: Given some predicate P(n,x,y) of mathematical interest, for which triples of positive integers n,x, and y do we have [P(n,x,y) and sigma_x(n) divides sigma_y(n)] ? Even if P is always true, that question would be of interest and likely hard. Gerhard "Always Looking For Quality Improvements" Paseman, 2016.01.24. | |
| Jan 24, 2016 at 17:08 | vote | accept | zeraoulia rafik | ||
| S Jan 24, 2016 at 6:48 | history | edited | Nik Weaver | CC BY-SA 3.0 |
typo in the title
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| S Jan 24, 2016 at 6:48 | history | suggested | Martin Sleziak | CC BY-SA 3.0 |
typo in the title
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| Jan 24, 2016 at 6:35 | review | Suggested edits | |||
| S Jan 24, 2016 at 6:48 | |||||
| Jan 24, 2016 at 5:29 | answer | added | Gerhard Paseman | timeline score: 1 | |
| Jan 24, 2016 at 4:30 | comment | added | Gerhard Paseman | The linked result in the comment above will show that for prime powers of the form n=p^10 that sigma_11(n) mod sigma(n) is nonzero. See if you can find other powers e such that sigma_11(p^e) mod sigma(p^e) is nonzero. Gerhard "Pondering What One Read Helps" Paseman, 2016.01.23 | |
| Jan 24, 2016 at 3:44 | comment | added | zeraoulia rafik | @L SPICE ,thank you very much for your edit | |
| S Jan 24, 2016 at 3:35 | history | suggested | LSpice | CC BY-SA 3.0 |
Corrected language in the post, I think without changing the meaning
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| Jan 24, 2016 at 3:28 | review | Suggested edits | |||
| S Jan 24, 2016 at 3:35 | |||||
| Jan 24, 2016 at 2:28 | comment | added | zeraoulia rafik | @GerhardPaseman, thank you for this , look the result in Edit :01 | |
| Jan 24, 2016 at 2:24 | history | edited | zeraoulia rafik | CC BY-SA 3.0 |
added 328 characters in body
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| Jan 23, 2016 at 0:58 | comment | added | Gerhard Paseman | See my answer to mathoverflow.net/questions/227458 , and consider what happens there if you replace $p$ by $p^x$. If $n$ does not have a special form, I doubt you will improve much on that answer. Gerhard "Welcomes You To Try, Naturally" Paseman, 2016.01.22. | |
| Jan 22, 2016 at 23:24 | history | edited | GH from MO |
edited tags
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| Jan 22, 2016 at 23:02 | history | asked | zeraoulia rafik | CC BY-SA 3.0 |