Timeline for A diophantine equation
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
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| Jul 27, 2023 at 17:04 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Mar 29, 2023 at 17:31 | comment | added | user178594 | @Siksek, your last comment is incorrect. | |
| Mar 29, 2023 at 15:24 | answer | added | user178594 | timeline score: 2 | |
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| May 31, 2015 at 8:04 | comment | added | BHZ | Thank you very much for your answers and for the comments. | |
| May 28, 2015 at 22:56 | comment | added | Siksek | The equation $x^2+x+1=y^3$ is an elliptic curve with trivial Mordell--Weil group. It has no integral points. | |
| May 25, 2015 at 9:25 | comment | added | BHZ | Thank you very much for the useful comments. For the first equation when $n=3^b$, can we discuss about the solutions? | |
| May 25, 2015 at 8:45 | comment | added | Siksek | Nowadays such equations are treated using the primitive divisor theorem of Bilu, Hanrot and Voutier. See for example page 420 of "Number Theory: Volume I: Tools and Diophantine Equations" by Henri Cohen. | |
| May 25, 2015 at 8:40 | comment | added | Siksek | The post mathoverflow.net/questions/207024/… refers to a paper of Nagell in which the equations $x^2+x+1=y^n$ and $x^2+x+1=3 y^n$ for $n \ge 3$. You want to take $x=-p$, $y=q$, $n=\alpha$ which reduces you to the case where $\alpha=1$ or $2$. | |
| May 25, 2015 at 6:58 | history | edited | BHZ | CC BY-SA 3.0 |
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| May 25, 2015 at 6:47 | history | edited | BHZ | CC BY-SA 3.0 |
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| May 25, 2015 at 6:38 | comment | added | Salvo Tringali | You have both $a$ and $\alpha$, and may want to fix it. Also, have your read the comments to Geoff Robinson's answer here: mathoverflow.net/a/206941/16537? | |
| May 25, 2015 at 6:35 | history | edited | BHZ | CC BY-SA 3.0 |
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| May 25, 2015 at 6:25 | history | asked | BHZ | CC BY-SA 3.0 |