Timeline for Writing rational number as $\frac{a^k+b^k}{c^k+d^k}$
Current License: CC BY-SA 4.0
5 events
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| Jan 11, 2020 at 22:50 | comment | added | Dmitry Krachun | Note that if 3 can be written in this form with $k=7$ then the map $(x,y)\mapsto x^7+3y^7$ from $\mathbb{Q}^2$ to $\mathbb{Q}$ is not injective. However, this map actually believed to be injective, see mathoverflow.net/questions/21003/… | |
| Jan 11, 2020 at 7:49 | comment | added | Peter McNamara | The k=3 case has an affirmative solution. This appeared on the shortlist of the 1999 IMO. | |
| Jan 11, 2020 at 6:28 | history | edited | Zhiyu | CC BY-SA 4.0 |
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| Jan 11, 2020 at 4:19 | history | edited | Zhiyu | CC BY-SA 4.0 |
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| Jan 11, 2020 at 4:07 | history | asked | Zhiyu | CC BY-SA 4.0 |