Timeline for Diophantine approximation on spheres
Current License: CC BY-SA 4.0
4 events
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| Feb 9, 2021 at 6:14 | comment | added | admissiblecycle | Thanks! This is a nice argument. After posting this question, I have learned that one can also deduce this statement from strong approximation for $S^3$. Proposition 2.4 in this survey -- birs.ca/workshops/2013/13w5019/files/… -- shows that strong approximation holds for $S^3$ away from any prime $p \neq 2.$ Then it follows that $S^3(\mathbf{Z}[\tfrac{1}{p}])$ is dense in $S^3$. But as your answer shows, this is perhaps a bit of an overkill. | |
| Feb 9, 2021 at 6:04 | vote | accept | admissiblecycle | ||
| Feb 8, 2021 at 17:43 | history | edited | R.P. | CC BY-SA 4.0 |
added 704 characters in body
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| Feb 8, 2021 at 16:38 | history | answered | R.P. | CC BY-SA 4.0 |