Timeline for When is the image of an integral polynomial contained in the image of another?
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Oct 22, 2015 at 13:19 | history | edited | Brando | CC BY-SA 3.0 |
Corrected an error in the original question.
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| Jul 22, 2015 at 18:14 | vote | accept | Brando | ||
| Jul 22, 2015 at 17:58 | vote | accept | Brando | ||
| Jul 22, 2015 at 18:14 | |||||
| Jul 22, 2015 at 11:51 | answer | added | Peter Mueller | timeline score: 27 | |
| Jul 21, 2015 at 17:32 | comment | added | Pasten | I think that using the suggested results will only lead to complicated issues of rationality and a lengthy case-by-case analysis on the pairs in the paper of Bilu and Tichy. See Theorem 1 in: H. Davenport, D. J. Lewis, A. Schinzel, Polynomials of certain special types. Acta Arith. 9 (1964), 107-116 for a result better suited for this problem. | |
| Jul 21, 2015 at 3:51 | comment | added | David E Speyer | See mathoverflow.net/questions/105304/… for more on Voloch's comment. | |
| Jul 20, 2015 at 20:43 | comment | added | Felipe Voloch | In particular, a paper of Bilu and Tichy (Acta Arith, XCV 2000) is relevant. | |
| Jul 20, 2015 at 20:41 | comment | added | Felipe Voloch | The curve $f(x)=g(y)$ will have infinitely many integral points so will be reducible or have genus zero. Google irreducibility of $f(x)-g(y)$ for many papers on this. | |
| Jul 20, 2015 at 19:53 | comment | added | Jason Starr | What about $f(x) = x(x+1)$ and $g(y) = 2y$? | |
| Jul 20, 2015 at 19:52 | history | asked | Brando | CC BY-SA 3.0 |