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Funktsional'nyi Analiz i ego Prilozheniya, 2002, Volume 36, Issue 3, Pages 83–87
DOI: https://doi.org/10.4213/faa211 (Mi faa211) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Brief communications

Anti-Vandermonde Systems and Plane Trees

Yu. Yu. Kochetkov

Moscow State Institute of Electronics and Mathematics
Full-text PDF (135 kB) Citations (4)
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DOI: https://doi.org/10.4213/faa211
Abstract: Some special systems of polynomial equations (anti-Vandermonde systems) and the definition fields of their solutions are studied. In the case of four variables it is proved that a definition field is an extension of a real quadratic field of degree 12.
Keywords: algebraic fields, Galois theory, polynomial algebra.
Received: 15.01.2001
English version:
Functional Analysis and Its Applications, 2002, Volume 36, Issue 3, Pages 240–243
DOI: https://doi.org/10.1023/A:1020114508652
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: Yu. Yu. Kochetkov, “Anti-Vandermonde Systems and Plane Trees”, Funktsional. Anal. i Prilozhen., 36:3 (2002), 83–87; Funct. Anal. Appl., 36:3 (2002), 240–243
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/faa211
  • https://doi.org/10.4213/faa211
  • https://www.mathnet.ru/eng/faa/v36/i3/p83
    • This publication is cited in the following 4 articles:
    1. J. Math. Sci. (N. Y.), 226:5 (2017), 667–693  mathnet  crossref  mathscinet
    2. Yu. Yu. Kochetkov, “Enumeration of one class of plane weighted trees”, J. Math. Sci., 209:2 (2015), 282–291  mathnet  crossref  mathscinet
    3. B. Birch, “Shabat trees of diameter 4: Appendix to a paper of Zvonkin”, J. Math. Sci., 158:1 (2009), 94–96  mathnet  crossref  mathscinet  zmath
    4. A. M. Vashevnik, “Prime numbers of bad reduction for dessins of genus 0”, J. Math. Sci., 142:2 (2007), 1883–1894  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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