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This article is cited in 34 scientific papers (total in 34 papers)
On Hilbert's thirteenth problem and related questions
A. G. Vitushkin Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
Hilbert's thirteenth problem involves the study of solutions of algebraic equations. The object is
to obtain a complexity estimate for an algebraic function. As of now, the problem remains open. There are only a few partial algebraic results in this connection, but at the same time the problem has stimulated a series of studies in the theory of functions with their subsequent applications. The most brilliant result in this cycle is Kolmogorov's theorem on superpositions of
continuous functions.
Received: 17.06.2003
Citation:
A. G. Vitushkin, “On Hilbert's thirteenth problem and related questions”, Russian Math. Surveys, 59:1 (2004), 11–25
Linking options:
https://www.mathnet.ru/eng/rm698https://doi.org/10.1070/RM2004v059n01ABEH000698 https://www.mathnet.ru/eng/rm/v59/i1/p11
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