Timeline for Injectivity of tuple of incomplete elementary symmetric polynomials
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Aug 22, 2022 at 17:40 | comment | added | Thomas Dybdahl Ahle | Does something like this work: $f_{n,k}$ is something like the gradient of the $s_{n+1,k+1}$, (you changed it to have falling $n$, but this seems to be an unimportant change from the original question.) By the Jacobian Conjecture $f$ is bijective if the determinant of the jacobian is a non-zero constant. The Jacobian of $f$ is the Hessian of $s$, and "... something about strict convexity implying the determinant being non-zero". | |
| Aug 22, 2022 at 14:47 | history | edited | Ewan Delanoy | CC BY-SA 4.0 |
edited title
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| Aug 21, 2022 at 19:09 | comment | added | LSpice | I am not sure if it is a typo or intentional, but I think that 'tuple' is more common in English than 'uple' (although I have seen the construction "$n$-uple", usually in contexts more CS-y than maths-y). | |
| Aug 21, 2022 at 17:28 | history | asked | Ewan Delanoy | CC BY-SA 4.0 |