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Timeline for Square hidden number problem

Current License: CC BY-SA 4.0

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Oct 24, 2023 at 8:59 comment added Ilya Bogdanov See here for the actual sizes of intersection: mathoverflow.net/questions/217922
Oct 23, 2023 at 16:02 comment added mtheorylord Yes, but how would one go about approximating the intersection set, actually finding the intersection?
Oct 23, 2023 at 11:35 comment added Ilya Bogdanov If $Q$ is the set of quadratic residues, then $|Q\cap (Q+a)|$ is roughly $p/2$, which shows that roughly $p/2$ values suffice.
Oct 22, 2023 at 12:26 comment added mtheorylord $p$ is known, $x_i$ are unknown, $m$ is unknown, but the values $m+x_i^2$ are given to you. It's very surprising that its possible to find $m$ even in the linear case.
Oct 22, 2023 at 5:38 comment added Gerry Myerson What's known here? Is $p$ known? are the $x_i$ known?
Oct 21, 2023 at 21:14 comment added Michael Hardy Proper notation is $N\gg\log(p),$ not $N>>\log(p).$ I edited accordingly (and also took the liberty of changing $\epsilon$ to $\varepsilon$).
Oct 21, 2023 at 21:13 history edited Michael Hardy CC BY-SA 4.0
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Oct 21, 2023 at 19:48 history edited YCor CC BY-SA 4.0
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Oct 21, 2023 at 19:22 history edited mtheorylord CC BY-SA 4.0
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Oct 21, 2023 at 19:07 history edited mtheorylord CC BY-SA 4.0
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Oct 21, 2023 at 19:06 history edited mtheorylord CC BY-SA 4.0
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Oct 21, 2023 at 18:57 history asked mtheorylord CC BY-SA 4.0