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Russian Mathematical Surveys, 2004, Volume 59, Issue 4, Pages 661–736
DOI: https://doi.org/10.1070/RM2004v059n04ABEH000759 (Mi rm759) 		 
This article is cited in 18 scientific papers (total in 18 papers)

On solvability and unsolvability of equations in explicit form

A. G. Khovanskii

Independent University of Moscow
English version PDF (788 kB) Citations (18)
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DOI: https://doi.org/10.1070/RM2004v059n04ABEH000759
Abstract: In this survey the classical results of Abel, Liouville, Galois, Picard, Vessiot, Kolchin, and others on the solvability and unsolvability of equations in explicit form are discussed. The one-dimensional topological version of Galois theory is presented in detail (this version describes topological obstructions to the representability of functions by quadratures).
Received: 30.03.2004
Russian version:
Uspekhi Matematicheskikh Nauk, 2004, Volume 59, Issue 4(358), Pages 69–146
DOI: https://doi.org/10.4213/rm759
Bibliographic databases:
Document Type: Article
UDC: 512.623.3+517.547.59
MSC: Primary 12F10, 12H05, 34M35; Secondary 32S40, 34M50, 30F99, 32D15, 20F16
Language: English
Original paper language: Russian
Citation: A. G. Khovanskii, “On solvability and unsolvability of equations in explicit form”, Uspekhi Mat. Nauk, 59:4(358) (2004), 69–146; Russian Math. Surveys, 59:4 (2004), 661–736
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Успехи математических наук Russian Mathematical Surveys
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    References:114
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