Timeline for On the solutions of $f(x) = y^k$ with $f \in \mathbb{Z}[x]$, $k \in \mathbb{N}$
Current License: CC BY-SA 3.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 17, 2017 at 14:23 | history | reopened |
Jeremy Rickard Franz Lemmermeyer Michael Albanese Pace Nielsen Peter Mueller |
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| Apr 17, 2017 at 13:58 | comment | added | Pace Nielsen | @trenta3 Thank you for clarifying your meaning. I'm voting to reopen. | |
| Apr 17, 2017 at 10:14 | review | Reopen votes | |||
| Apr 17, 2017 at 14:23 | |||||
| Apr 17, 2017 at 10:03 | comment | added | Felipe Voloch | The answers given explain why there are only finitely many solutions for any fixed $k>2$. But, the clarified question asks about varying $k$. I don't recall seeing a general result like that, so it may be open. The finiteness follows from the abc conjecture applied to the displayed equation in (the current version of) Joe's answer. | |
| Apr 17, 2017 at 9:53 | comment | added | trenta3 | @PaceNielsen I've rephrased the question. $y$ was not meant to be a polynomial and I was asking about integer solutions. | |
| Apr 17, 2017 at 9:50 | history | edited | trenta3 | CC BY-SA 3.0 |
added 344 characters in body
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| Apr 17, 2017 at 9:14 | history | closed |
Pace Nielsen Franz Lemmermeyer Peter Mueller Jan-Christoph Schlage-Puchta Stefan Kohl♦ |
Not suitable for this site | |
| Apr 17, 2017 at 7:47 | comment | added | Peter Mueller | I and others misread the question, apparently automatically converting it to a proper question. As such it of course should be closed. Maybe not deleted, for then Joe Silverman's detailed answer would be gone. | |
| Apr 17, 2017 at 6:41 | comment | added | Franz Lemmermeyer | The 4 upvotes must be for perfect formatting, right? | |
| Apr 17, 2017 at 2:07 | review | Close votes | |||
| Apr 17, 2017 at 9:14 | |||||
| Apr 17, 2017 at 1:49 | comment | added | Pace Nielsen | It is impossible for $f(x)$ to both be irreducible, and a product of two or more nontrivial polynomials. | |
| Apr 16, 2017 at 22:59 | answer | added | Joe Silverman | timeline score: 14 | |
| Apr 16, 2017 at 22:48 | answer | added | Peter Mueller | timeline score: 6 | |
| Apr 16, 2017 at 22:41 | review | First posts | |||
| Apr 16, 2017 at 22:46 | |||||
| Apr 16, 2017 at 22:36 | history | asked | trenta3 | CC BY-SA 3.0 |