Prime divisors of -binomial coefficients
F. T. Howard (1972)
Rendiconti del Seminario Matematico della Università di Padova
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F. T. Howard (1972)
Rendiconti del Seminario Matematico della Università di Padova
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H. Davenport, Wolfgang Schmidt (1969)
Acta Arithmetica
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B. Stankovic (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Andrzej Schinzel (1973)
Acta Arithmetica
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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...
A. Baker (1967)
Acta Arithmetica
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Chu Wenchang (1995)
Rendiconti del Seminario Matematico della Università di Padova
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M. Schacher, E. Straus (1974)
Acta Arithmetica
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Jan-Hendrik Evertse (1986)
Acta Arithmetica
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