Timeline for Roots of not-necessarily reciprocal polynomials
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| May 10, 2015 at 8:00 | comment | added | Fedor Petrov | I think, it does not kill degree of freedom, because you fix only remainders, while partial quotients are free integer variables. In any case, if I understand the question correctly, we have as many degrees of freedom as we need. | |
| May 10, 2015 at 2:38 | comment | added | Igor Rivin | But notice that requiring Eisenstein mod a FIXED prime kills another degree of freedom. Presumably, being able to vary the prime gets around this, but this is not 100% obvious. | |
| May 9, 2015 at 9:50 | history | edited | Fedor Petrov | CC BY-SA 3.0 |
added 1623 characters in body
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| May 9, 2015 at 1:00 | comment | added | Will Sawin | I think you're assuming that the class of polynomials has at least two degrees of freedom. The values aren't always dense, but do reach each quadrant because they are a subgroup of $\mathbb R^2$ not contained in any line. If there are three degrees of freedom it will be dense. | |
| May 9, 2015 at 0:09 | comment | added | Igor Rivin | Why is the statement about pairs of linear forms being dense in $\mathbb{R}^2$ true? | |
| May 8, 2015 at 23:42 | history | answered | Fedor Petrov | CC BY-SA 3.0 |