### 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 $d\u2a7e2$ there are at least ${(d-3)}^{2}/2$ nonconjugate algebraic numbers which have their Mahler measures lying in the interval $(1,2)$. 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 $\alpha $ 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 $\alpha $, and display the resulting list of 1314 values of $\alpha $ 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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