Timeline for Resultant of a binomial and a trinomial
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Feb 17, 2018 at 11:21 | comment | added | Andreas Rüdinger | I did some calculations: For the special case $r=2, s =1, b=-1, c=-1$ (i.e. the fibonacci quadratic polynomial) one gets $\mathrm{Res}(x^n +a, x^2-x-1)=a^2 + \mathrm{Lucas}(n) \cdot a +(-1)^n$, with $(\mathrm{Lucas}(n)) = (1,3,4,7,\ldots)$. Should not be too difficult to prove and could be a starting point for more general cases. | |
| Feb 16, 2018 at 22:09 | comment | added | Jyrki Lahtonen | Crossposted also at Math.SE. | |
| Feb 15, 2018 at 20:37 | comment | added | Gary McGuire | Apologies. See Lemma 3 in the 1962 paper "Factorization of Polynomials over Finite Fields" by Richard Swan msp.org/pjm/1962/12-3/pjm-v12-n3-p27-p.pdf | |
| Feb 15, 2018 at 20:17 | comment | added | Abdelmalek Abdesselam | related: mathoverflow.net/questions/59859/… | |
| Feb 15, 2018 at 19:33 | comment | added | Igor Rivin | Any reference for the "well-known" result? | |
| Feb 15, 2018 at 17:39 | history | edited | Federico Poloni | CC BY-SA 3.0 |
edited title
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| Feb 15, 2018 at 15:01 | review | First posts | |||
| Feb 15, 2018 at 15:01 | |||||
| Feb 15, 2018 at 14:56 | history | asked | Gary McGuire | CC BY-SA 3.0 |