The Lehmer strength bounds for total ramification
John Garza (2009)
Acta Arithmetica
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John Garza (2009)
Acta Arithmetica
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Josef Blass, A. Glass, David Manski, David Meronk, Ray Steiner (1990)
Acta Arithmetica
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John Garza (2007)
Acta Arithmetica
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Ulrich Rausch (1985)
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....
Artūras Dubickas (2004)
Commentationes Mathematicae Universitatis Carolinae
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The main result of this paper implies that for every positive integer there are at least nonconjugate algebraic numbers which have their Mahler measures lying in the interval . These algebraic numbers are constructed as roots of certain nonreciprocal quadrinomials.
José Luis Montaña, Luis M. Pardo, R. Ramanakoraisina (1992)
Extracta Mathematicae
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J. Garza, M. I. M. Ishak, C. Pinner (2010)
Acta Arithmetica
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Chistopher J. Smyth (1984)
Annales de l'institut Fourier
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Let be a totally positive algebraic integer, with the difference between its trace and its degree at most 6. We describe an algorithm for finding all such , and display the resulting list of 1314 values of which the algorithm produces.
Markov, Minko, Haralampiev, Vladislav, Georgiev, Georgi (2015)
Serdica Journal of Computing
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We investigate a recently introduced width measure of planar shapes called sweepwidth and prove a lower bound theorem on the sweepwidth.
Charles L. Samuels (2006)
Acta Arithmetica
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J. Janikowski (1967)
Colloquium Mathematicae
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