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arXiv · 1903.08632

On Representability of Algebraic Functions by Radicals

Askold Khovanskii
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Abstract

This preprint is dedicated to a self contained simple proof of the classical criteria for representability of algebraic functions of several complex variables by radicals. It also contains a criteria for representability of algebroidal functions by composition of single-valued analytic functions and radicals, and a result related to the 13-th Hilbert problem. This preprint is an extended version of the author's 1971 paper. It is written as a part of the comments to a new edition (in preparation) of the classical book `Integration in finite terms' by J.F.~Ritt.

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Askold Khovanskii. 2019-03-20. On Representability of Algebraic Functions by Radicals. https://arxiv.org/abs/1903.08632

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