Timeline for Symmetric version of Hilbert's seventeenth problem?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jul 30, 2023 at 14:39 | history | edited | Aaron Bergman | CC BY-SA 4.0 |
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| Mar 24, 2023 at 15:53 | comment | added | Per Alexandersson | @SamHopkins Absolutely! I would very much want to see one example of a shift-invariant symmetric polynomial, which is non-negative, but requires rational functions in the sum-of-squares-representation. In fact, ill donate $10 to OEIS for such an example :) | |
| Mar 24, 2023 at 13:37 | comment | added | Sam Hopkins | Well, it is also the case that a polynomial which takes on only non-negative values for real numbers cannot necessarily be expressed as a sum of squares of polynomials: using rational functions is really crucial. | |
| Mar 24, 2023 at 8:27 | history | answered | Per Alexandersson | CC BY-SA 4.0 |