Timeline for Square root in number field
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Oct 22, 2023 at 9:30 | vote | accept | Tippisum | ||
| Jul 2, 2022 at 12:37 | comment | added | Tippisum | Thank you for your insight on the question 2. I used to have an intuition that a non-square number can have a "small non-square residue" cut off and become a square. It is true for $\mathbb{Q}$ and any quadratic number field, but as you have pointed out, this fails to be true for number fields whose degree is at least 3. When the degree goes higher, it will require me to find rational points on curves with higher and higher genus, which doesn't seem fruitful. | |
| Jun 30, 2022 at 19:50 | history | edited | R.P. | CC BY-SA 4.0 |
added 306 characters in body
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| Jun 30, 2022 at 18:19 | history | answered | R.P. | CC BY-SA 4.0 |