Roots of Solvable Polynomials of Prime Degree

Abstract

An explicit formula for the most general root of a solvable polynomial of prime degree is stated and proved. Such a root can be expressed rationally in terms of a single compound radical determined by the roots of a cyclic polynomial whose degree divides μ − 1, where μ is the prime. The study of such formulas was initiated by a formula of Abel for roots of… (More)

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