Ludwig Bieberbach's "Remarks on Hilbert's Thirteenth Problem" and Addendum

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Autor principal: Nanavaty, Anubhav
Formato: Preprint
Publicado: 2024
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author Nanavaty, Anubhav
author_facet Nanavaty, Anubhav
contents This is an English translation of Ludwig Bieberbach's paper ``Remarks on Hilbert's Thirteenth Problem" originally written in German and originally published in Journal für die Reine und Angewandte Mathematik - 165 (89-92) 1931, along with an addendum to the paper published in 1933. Beiberbach studies under what conditions are there functions of three variables which can or cannot be obtained by combining or nesting functions of two variables. In the addendum, Bieberbach acknowledges a fatal error in a proof in the original article and connects Hilbert's thirteenth problem to a related problem in the theory of differential equations.
format Preprint
id arxiv_https___arxiv_org_abs_2410_23292
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Ludwig Bieberbach's "Remarks on Hilbert's Thirteenth Problem" and Addendum
Nanavaty, Anubhav
History and Overview
Algebraic Geometry
This is an English translation of Ludwig Bieberbach's paper ``Remarks on Hilbert's Thirteenth Problem" originally written in German and originally published in Journal für die Reine und Angewandte Mathematik - 165 (89-92) 1931, along with an addendum to the paper published in 1933. Beiberbach studies under what conditions are there functions of three variables which can or cannot be obtained by combining or nesting functions of two variables. In the addendum, Bieberbach acknowledges a fatal error in a proof in the original article and connects Hilbert's thirteenth problem to a related problem in the theory of differential equations.
title Ludwig Bieberbach's "Remarks on Hilbert's Thirteenth Problem" and Addendum
topic History and Overview
Algebraic Geometry
url https://arxiv.org/abs/2410.23292