アーベルの代数方程式論

概要

It is the search for a representation formula for the roots of algebraically solvable equations that forms the basis of Abel's theory of algebraic equations. On this foundation, the ”proof of impossibility” was established and the criterion for determining algebraic solvability was obtained. Kronecker went one step further to explore the nature of the solvable equation itself， and formed the problem of the composition of the Abelian equation with specified coefficient range.