
TL;DR
This paper explores extending Galois theory beyond algebraic numbers to transcendental functions and quantities, highlighting recent ideas and results in this less traditional application.
Contribution
It discusses novel approaches and findings related to applying Galois theory to transcendental functions, expanding its classical scope.
Findings
Recent progress in Galois theory for transcendental functions
New methods for analyzing transcendental quantities
Potential applications in understanding transcendental algebraic structures
Abstract
Classical applications of Galois theory concern algebraic numbers and algebraic functions. Still, the night before his duel, Galois wrote that his last mathematical thoughts had been directed toward applying his "theory of ambiguity to transcendental functions and transcendental quantities". We outline some more or less recent ideas and results in this direction.
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Taxonomy
TopicsMedieval European Literature and History
