Timeline for Explanation for the sum of primitive roots modulo $p$ (taken from $[-(p-1)/2,(p-1)/2]$) being positive way more often than being negative?
Current License: CC BY-SA 4.0
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| Apr 27, 2023 at 13:20 | history | edited | Mastrem | CC BY-SA 4.0 |
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| Apr 27, 2023 at 9:06 | comment | added | Mastrem | @TerryTao I've tried to account for this bias now, but it seems there is more going on (see my edits). | |
| Apr 27, 2023 at 9:04 | history | edited | Mastrem | CC BY-SA 4.0 |
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| Apr 27, 2023 at 8:02 | history | edited | Mastrem | CC BY-SA 4.0 |
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| Apr 27, 2023 at 1:47 | comment | added | Terry Tao | Do you get similar behavior of you replace the set of primitive roots by the set of quadratic non-residues? The latter does have biases of the type you indicate, thanks to Parseval's identity and quadratic reciprocity, and this may already explain a significant portion of the numerical phenomena you are observing. | |
| Apr 26, 2023 at 22:25 | history | asked | Mastrem | CC BY-SA 4.0 |