Timeline for Approximating a ray with an integer lattice point
Current License: CC BY-SA 4.0
7 events
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| Jul 13, 2018 at 1:40 | comment | added | Noah Stephens-Davidowitz | See this paper arxiv.org/pdf/1606.05880.pdf by Bourgain, Rudnick, and Sarnak on the distribution of integer points on a sphere. They essentially study your first question when S_r is taken to be the integer points in a sphere, rather than a ball, and I believe that this is the state of the art for that variant of the question. It's possible that the question becomes easier when you switch from a sphere to a ball, though. | |
| Jul 12, 2018 at 17:46 | history | edited | Christian Chapman | CC BY-SA 4.0 |
changed r to a 'radius'
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| Jul 12, 2018 at 9:03 | history | edited | Christian Chapman | CC BY-SA 4.0 |
deleted 124 characters in body
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| Jul 12, 2018 at 7:42 | history | edited | Christian Chapman | CC BY-SA 4.0 |
added 139 characters in body
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| Jul 12, 2018 at 5:32 | history | edited | Christian Chapman | CC BY-SA 4.0 |
deleted 4 characters in body; edited title
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| Jul 12, 2018 at 5:05 | history | edited | Christian Chapman | CC BY-SA 4.0 |
edited title
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| Jul 12, 2018 at 4:56 | history | asked | Christian Chapman | CC BY-SA 4.0 |