Timeline for Simple question about 0,1-polynomials
Current License: CC BY-SA 4.0
8 events
when toggle format | what | by | license | comment | |
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Jan 16 at 8:30 | comment | added | Peter Taylor | @DenisIvanov, there are a lot of theorems about polynomial roots and I don't know which you thought was relevant. | |
Jan 16 at 8:15 | comment | added | Denis Ivanov | Yes I see, but now I'm confused ( | |
Jan 16 at 8:12 | comment | added | Peter Taylor | @DenisIvanov, apparently not. The first counterexample is $P_{50539}$. | |
Jan 16 at 6:47 | comment | added | Denis Ivanov | @ Peter Taylor, thank you! Did I understand correctly that this implies: if $n$ is prime, then its $0,1$-poly can only have $1$ or $2$ roots? | |
Jan 16 at 6:42 | vote | accept | Denis Ivanov | ||
Jan 15 at 17:27 | comment | added | Peter Taylor | @DenisIvanov, the easy statements are that powers of 2 are irrelevant (because they certainly don't cause carries); the odd part must be squarefree; and if odd primes $p$ and $q$ both occur then $(p-1) + (q-1)$ must also be without carries. | |
Jan 15 at 17:16 | comment | added | Denis Ivanov | Thank you, but how to check (without manual arithmetic) are there such carries? I've found idea only about addition | |
Jan 15 at 16:36 | history | answered | Peter Taylor | CC BY-SA 4.0 |