Timeline for Near-linear mappings from $\mathbb F_p$ to $\mathbb R$
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
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| Jul 25, 2020 at 18:38 | comment | added | PrimeRibeyeDeal | This is reminiscent of a Freiman homomorphism. | |
| Jan 27, 2018 at 13:40 | comment | added | Qfwfq | I was thinking about the fact that you seem to use only the additive structure, so any cyclic group would do as fine. | |
| Jan 27, 2018 at 7:11 | comment | added | Seva | @Qfwfq: Other finite fields can be fine, too, but I do not care about generalizations. | |
| Jan 26, 2018 at 22:22 | comment | added | Qfwfq | How is $p$ being prime relevant to the problem? | |
| Jan 26, 2018 at 21:30 | vote | accept | Seva | ||
| Jan 26, 2018 at 15:55 | answer | added | Will Sawin | timeline score: 6 | |
| Jan 26, 2018 at 15:05 | comment | added | Seva | @AchimKrause: In fact, my functions $\phi_i$ are rational-valued by the virtue of the problem I need this for. | |
| Jan 26, 2018 at 14:57 | history | edited | YCor |
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| Jan 26, 2018 at 14:55 | history | edited | Seva | CC BY-SA 3.0 |
added 161 characters in body; edited title
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| Jan 26, 2018 at 12:07 | comment | added | Achim Krause | Just a comment: since any such map has image in a finite-dimensional $\mathbb{Q}$-subvector space in $\mathbb{R}$, and any such subspace surjects onto $\mathbb{Q}$, we can postcompose to get a map to the rationals with no more pairs violating addivity. By multiplying with the common denominator, we can further reduce to a map $\mathbb{F}_p\rightarrow\mathbb{Z}$. | |
| Jan 26, 2018 at 9:09 | history | edited | Seva | CC BY-SA 3.0 |
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| Jan 26, 2018 at 7:23 | history | asked | Seva | CC BY-SA 3.0 |