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- W3002280885 abstract "Let RD(n) denote the minimum d for which there exists a formula for the roots of the general degree n polynomial using only algebraic functions of d or fewer variables. In 1927, Hilbert sketched how the 27 lines on a cubic surface could be used to construct a 4-variable formula for the general degree 9 polynomial (implying $RD(9)le 4$). In this paper, we turn Hilbert's sketch into a general method. We show this method produces best-to-date upper bounds on RD(n) for all n, improving earlier results of Hamilton, Sylvester, Segre and Brauer." @default.
- W3002280885 created "2020-01-30" @default.
- W3002280885 creator A5082189319 @default.
- W3002280885 date "2020-01-17" @default.
- W3002280885 modified "2023-09-27" @default.
- W3002280885 title "Tschirnhaus transformations after Hilbert" @default.
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