Timeline for Diophantine approximation on spheres
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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Feb 9, 2021 at 6:16 | history | edited | admissiblecycle | CC BY-SA 4.0 |
Following the comments of Dodd and Wojowu, the condition $p \neq 2$ has been added, since this is clearly necessary.
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Feb 9, 2021 at 6:04 | vote | accept | admissiblecycle | ||
Feb 8, 2021 at 16:38 | answer | added | R.P. | timeline score: 3 | |
Feb 7, 2021 at 22:02 | comment | added | Wojowu | By Jacobi's four square theorem, the number of solutions in $\frac{1}{5^k}\mathbb Z$, equal to the number if integer solutions to $x^2+y^2+z^2+w^2=5^{2k}$, is equal to $8(1+5+\dots+5^{2k})$, so we definitely have many solutions. This doesn't tell us how they are distributed, but at least we can't have finiteness issues like with $2$. | |
Feb 7, 2021 at 20:58 | answer | added | R.P. | timeline score: 2 | |
Feb 7, 2021 at 19:33 | comment | added | markvs | Try replacing $5$ with $2$. | |
Feb 7, 2021 at 13:35 | history | asked | admissiblecycle | CC BY-SA 4.0 |