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Oct 2, 2021 at 6:00 comment added Nate River Yeah, I believe I have a sketch that this is true - a slight extension of the proof of the rest in Remark 2 with quantitative bounds.
Oct 1, 2021 at 18:58 comment added domotorp I think this should be true. Davenport and Erdos have some papers on the density of the multiples of some set: users.renyi.hu/~p_erdos/1936-04.pdf and users.renyi.hu/~p_erdos/1951-07.pdf These seem quite related, tough I don't see a direct application.
Oct 1, 2021 at 10:14 history edited Nate River CC BY-SA 4.0
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Oct 1, 2021 at 9:03 history edited domotorp CC BY-SA 4.0
introduced S_z to make def clearer
Oct 1, 2021 at 8:11 history edited Nate River CC BY-SA 4.0
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Oct 1, 2021 at 5:19 history asked Nate River CC BY-SA 4.0