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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Jack Ohm (1989)
Journal de théorie des nombres de Bordeaux
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Some results and problems that arise in connection with the foundations of the theory of ruled and rational field extensions are discussed.
Arnaldo Garcia, Henning Sitchtenoth (1991)
Manuscripta mathematica
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J. Wójcik (1975)
Acta Arithmetica
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Noriyuki Suwa, Tsutomu Sekiguchi (1991)
Mathematische Zeitschrift
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Peter Bundschuh, Keijo Väänänen (2015)
Acta Arithmetica
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This article continues a previous paper by the authors. Here and there, the two power series F(z) and G(z), first introduced by Dilcher and Stolarsky and related to the so-called Stern polynomials, are studied analytically and arithmetically. More precisely, it is shown that the function field ℂ(z)(F(z),F(z⁴),G(z),G(z⁴)) has transcendence degree 3 over ℂ(z). This main result contains the algebraic independence over ℂ(z) of G(z) and G(z⁴), as well as that of F(z) and F(z⁴). The first...
Serban A. Basarab, F.-V. Kuhlmann (1992)
Manuscripta mathematica
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R. Stora (1986)
Recherche Coopérative sur Programme n°25
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K. Orlov, B. Savić (1983)
Matematički Vesnik
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J. C. Varlet (1975)
Colloquium Mathematicae
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Smirnov, A.L. (2004)
Zapiski Nauchnykh Seminarov POMI
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J. Schmidt (1964)
Colloquium Mathematicae
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J. Garza, M. I. M. Ishak, C. Pinner (2010)
Acta Arithmetica
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