Algebraic independence of real numbers with low density of nonzero digits
Hajime Kaneko (2012)
Acta Arithmetica
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Hajime Kaneko (2012)
Acta Arithmetica
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Acta Arithmetica
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Colloquium Mathematicae
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Thomas Jarrett
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J. Garza, M. I. M. Ishak, C. Pinner (2010)
Acta Arithmetica
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K. Orlov, B. Savić (1983)
Matematički Vesnik
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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....
Charles James Hargreave
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Acta Arithmetica
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