Timeline for Positive real root separation
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 13, 2018 at 7:17 | history | bounty ended | Nikita Sidorov | ||
| Nov 8, 2018 at 20:03 | comment | added | Nikita Sidorov | Thanks! I posted a follow-up question: mathoverflow.net/questions/314870/… | |
| Nov 8, 2018 at 18:05 | comment | added | user131093 | Since the Galois group of the polynomial $p(x)$ for $n = 1$ is $S_7$, the irreducibility of $p(x^n)$ is immediate as long as a (any) root of $p(x)$ is not a perfect $n$th power for some $n > 1$. But any root is a fundamental unit in the corresponding degree $7$ field. | |
| Nov 8, 2018 at 13:07 | vote | accept | Nikita Sidorov | ||
| Nov 8, 2018 at 10:46 | comment | added | Peter Mueller | Simple and beautiful! Maybe the irreducibilty (at least for infinitely many $n$, like the primes) deserves an explanation. | |
| Nov 8, 2018 at 4:35 | review | First posts | |||
| Nov 8, 2018 at 4:57 | |||||
| Nov 8, 2018 at 4:33 | history | answered | user131093 | CC BY-SA 4.0 |