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May 2 at 15:35 comment added GH from MO @Wojowu Indeed, Maier's result does not disprove the OP's conjecture. BTW I don't know if an effective value $c<1$ is available in Maier's result, and if anyone has calculated such a value.
May 2 at 9:47 comment added Wojowu Maier's result doesn't quite disprove OP's conjecture, right? We'd need $c<1/2$ for that.
May 2 at 5:04 history edited GH from MO CC BY-SA 4.0
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May 2 at 4:51 history answered GH from MO CC BY-SA 4.0