### 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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Chris Peters (1995)

Cours de l'institut Fourier

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J. Wójcik (1975)

Acta Arithmetica

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R. Stora (1986)

Recherche Coopérative sur Programme n°25

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J. Matousek (1995)

Discrete & computational geometry

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J. Garza, M. I. M. Ishak, C. Pinner (2010)

Acta Arithmetica

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J. C. Varlet (1975)

Colloquium Mathematicae

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C. Bajaj, Ming Li (1989)

Discrete & computational geometry

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K. Orlov, B. Savić (1983)

Matematički Vesnik

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Thomas Jarrett

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J. Schmidt (1964)

Colloquium Mathematicae

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