Uniformization of a class of algebraic functions of the third degree by the method of differential equations
J. Janikowski (1967)
Colloquium Mathematicae
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J. Janikowski (1967)
Colloquium Mathematicae
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Paulius Drungilas, Artūras Dubickas (2016)
Colloquium Mathematicae
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Let α, β and γ be algebraic numbers of respective degrees a, b and c over ℚ such that α + β + γ = 0. We prove that there exist algebraic numbers α₁, β₁ and γ₁ of the same respective degrees a, b and c over ℚ such that α₁ β₁ γ₁ = 1. This proves a previously formulated conjecture. We also investigate the problem of describing the set of triplets (a,b,c) ∈ ℕ³ for which there exist finite field extensions K/k and L/k (of a fixed field k) of degrees a and b, respectively, such that the degree...
Zhongming Tang (1990)
Mathematische Zeitschrift
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Cours de l'institut Fourier
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Acta Arithmetica
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Colloquium Mathematicae
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