On the product of heights of algebraic numbers summing to real numbers
J. Garza, M. I. M. Ishak, C. Pinner (2010)
Acta Arithmetica
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J. Garza, M. I. M. Ishak, C. Pinner (2010)
Acta Arithmetica
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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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Thomas Jarrett
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J. C. Varlet (1975)
Colloquium Mathematicae
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J. Schmidt (1964)
Colloquium Mathematicae
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Peter Bundschuh, Keijo Väänänen (2014)
Acta Arithmetica
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This article continues two papers which recently appeared in this same journal. First, Dilcher and Stolarsky [140 (2009)] introduced two new power series, F(z) and G(z), related to the so-called Stern polynomials and having coefficients 0 and 1 only. Shortly later, Adamczewski [142 (2010)] proved, inter alia, that G(α),G(α⁴) are algebraically independent for any algebraic α with 0 < |α| < 1. Our first key result is that F and G have large blocks of consecutive zero coefficients....
Oldřich Kowalski (1972)
Colloquium Mathematicae
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Stéphane Fischler (2001)
Acta Arithmetica
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Smirnov, A.L. (2004)
Zapiski Nauchnykh Seminarov POMI
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Georges Rhin (2004)
Colloquium Mathematicae
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We give lower bounds for the Mahler measure of totally positive algebraic integers. These bounds depend on the degree and the discriminant. Our results improve earlier ones due to A. Schinzel. The proof uses an explicit auxiliary function in two variables.
K. Orlov, B. Savić (1983)
Matematički Vesnik
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Charles James Hargreave
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Józef Tabor (1973)
Annales Polonici Mathematici
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Robert M. Fossum (1980)
Publications mathématiques et informatique de Rennes
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