Irrationality of the roots of the Yablonskii-Vorob'ev polynomials and relations between them.
Roffelsen, Pieter (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Roffelsen, Pieter (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Gallardo, Luis H. (2006)
Applied Mathematics E-Notes [electronic only]
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Yann Bugeaud, Andrej Dujella (2014)
Acta Arithmetica
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We construct parametric families of (monic) reducible polynomials having two roots very close to each other.
Peter Russell (1980)
Manuscripta mathematica
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Christoph Schwarzweller (2017)
Formalized Mathematics
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In this article we further extend the algebraic theory of polynomial rings in Mizar [1, 2, 3]. We deal with roots and multiple roots of polynomials and show that both the real numbers and finite domains are not algebraically closed [5, 7]. We also prove the identity theorem for polynomials and that the number of multiple roots is bounded by the polynomial’s degree [4, 6].
M. S. Popadić (1970)
Matematički Vesnik
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Dragoš M. Cvetković (1972)
Publications de l'Institut Mathématique
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J. Schwaiger (1985)
Aequationes mathematicae
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Józef Siciak (2011)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.
Józef Siciak (2011)
Annales UMCS, Mathematica
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We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.
Andrzej Birkholc (1971)
Colloquium Mathematicae
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Jöran Friberg (1967)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Andrej Dujella, Tomislav Pejković (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Babu Ram (1974)
Colloquium Mathematicae
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Kostov, Vladimir (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12D10. In the paper we give different examples of overdetermined strata.