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- W4225501723 abstract "The generic monic polynomial of degree N features N a priori arbitrary coefficients $c_m$ and N zeros $z_n$. In this paper we limit consideration to $N = 8$ and $N = 9$. We show that if the $N$ -- a priori arbitrary -- coefficients $c_m$ of these polynomials are appropriately defined -- as it were, a posteriori -- in terms of 6 arbitrary parameters, then the $N$ roots of these polynomials can be explicitly computed in terms of radicals of these 6 parameters. We also report the constraints on the N coefficients $c_m$ implied by the fact that they are so defined in terms of 6 arbitrary parameters; as well as the explicit determination of these 6 parameters in terms of the N coefficients $c_m$." @default.
- W4225501723 created "2022-05-05" @default.
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- W4225501723 creator A5083629245 @default.
- W4225501723 date "2021-11-23" @default.
- W4225501723 modified "2023-09-29" @default.
- W4225501723 title "Explicitly solvable algebraic equations of degree 8 and 9" @default.
- W4225501723 hasPublicationYear "2021" @default.
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