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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

Funktsional. Anal. i Prilozhen., 2002 Volume 36, Issue 3, Pages 83–87 (Mi faa211)

This article is cited in 4 papers

Brief communications

Anti-Vandermonde Systems and Plane Trees

Yu. Yu. Kochetkov

Moscow State Institute of Electronics and Mathematics

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.

UDC: 512

Received: 15.01.2001

DOI: 10.4213/faa211


 English version:
Functional Analysis and Its Applications, 2002, 36:3, 240–243

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