Timeline for Resultant of two special trinomials
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 12, 2018 at 23:31 | comment | added | Andreas Rüdinger | And another observation: $|(A(n,n+k))_k|$ seems to be periodic with period $n-1$. | |
| Jan 12, 2018 at 23:15 | comment | added | Andreas Rüdinger | I made some calculations for the easiest non-trivial case $s=j=1$. Let's call the resultant $A(n,i)$. Then $A(n,2)=- floor(\varphi^{n-2})+((n-1)\mod 2)$ (oeis.org/A001350) and $A(n,3)$ is oeis.org/A001945 (with an offset). $A(n,4)$ is not in OEIS. | |
| May 16, 2017 at 10:03 | comment | added | xyz | @GerryMyerson I would like to add that, if we can find a formula for Resultant of general trinomials, then the resilt will subsume this paper. ijpam.eu/contents/2012-74-1/5/5.pdf | |
| May 16, 2017 at 6:56 | comment | added | Gerry Myerson | But why the votes to close? Wouldn't it be nice to have a closed-form formula for the resultant as a function of $n,s,i,j$ – or to have an acknowledgement that no such formula is known? | |
| May 16, 2017 at 6:48 | comment | added | Gerry Myerson | Posted some months ago to m.se, math.stackexchange.com/questions/1943631/… but with no answers. | |
| May 16, 2017 at 6:27 | review | Close votes | |||
| May 16, 2017 at 8:56 | |||||
| May 16, 2017 at 6:09 | history | asked | xyz | CC BY-SA 3.0 |