Timeline for Density of tuples of conjugate algebraic numbers
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 15, 2015 at 18:16 | comment | added | David Lampert | Yes with algebraic integers: Take g(x),N as above, then let f(x)=x^(1+deg g) + (2^M)*N *g(x) + 2, where M>>0 is a large integer. Eisenstein's criterion gives irreducibility of f(x) and Rouche's theorem (applied to f(x)/(2^M *N)) gives that f(x) has (algebraic integer) zeros near zeros of g(x). | |
| Jan 22, 2015 at 16:49 | vote | accept | Balazs Strenner | ||
| Jan 21, 2015 at 20:44 | comment | added | Balazs Strenner | That's nice. To make the question harder, say I am interested in algebraic integers instead of algebraic numbers. Any ideas for that? | |
| Jan 21, 2015 at 16:16 | history | answered | Ilya Bogdanov | CC BY-SA 3.0 |