Results 11 to 20 of about 157,767 (127)
Simultaneous approximations to p-adic numbers and algebraic dependence via multidimensional continued fractions [PDF]
The Ramanujan Journal, 2021 AbstractUnlike the real case, there are not many studies and general techniques for providing simultaneous approximations in the field of p-adic numbers $$\mathbb Q_p$$ Q p . Here, we study the use of multidimensional continued fractions (MCFs) in this context.
Murru, Nadir, Terracini, Lea
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Karpatsʹkì Matematičnì Publìkacìï, 2019 Algebraic and recursion equations are widely used in different areas of mathematics, so various objects and methods of research that are associated with them are very important.
I.I. Lishchynsky
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Describability via ubiquity and eutaxy in Diophantine approximation [PDF]
, 2015 We present a comprehensive framework for the study of the size and large intersection properties of sets of limsup type that arise naturally in Diophantine approximation and multifractal analysis.
Durand, Arnaud
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Approximating L2-invariants, and the Atiyah conjecture [PDF]
, 2003 Let G be a torsion free discrete group and let \bar{Q} denote the field of algebraic numbers in C. We prove that \bar{Q}[G] fulfills the Atiyah conjecture if G lies in a certain class of groups D, which contains in particular all groups which are ...
Atiyah +21 more
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On non-conservative perturbations of three-dimensional integrable systems [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаAt present, non-conservative perturbations of two-dimensional nonlinear Hamiltonian systems have been studied quite fully. The purpose of the study is to generalize this theory to the three-dimensional case, when the unperturbed system is nonlinear ...
Morozov, Kirill Евгеньевич
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On approximation to real numbers by algebraic numbers [PDF]
Acta Arithmetica, 2000 Define the height \(H(\alpha)\) of an algebraic number \(\alpha\) as the maximum of the absolute values of the coefficients of its irreducible polynomial over \(\mathbb{Z}\). Let \(n\geq 2\) be an integer and let \(\xi\) be a real number which is not an algebraic number of degree \(\leq n\).
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STABILITY OF MOTION OF RAILWAY VEHICLES DESCRIBED WITH LAGRANGE EQUATIONS OF THE FIRST KIND
Nauka ta progres transportu, 2018 Purpose. The article aims to estimate the stability of the railway vehicle motion, whose oscillations are described by Lagrange equations of the first kind under the assumption that there are no nonlinearities with discontinuities of the right-hand sides.
A. G. Reidemeister, S. I. Levytska
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Exponents of Diophantine Approximation and Sturmian Continued Fractions [PDF]
, 2004 Let x be a real number and let n be a positive integer. We define four exponents of Diophantine approximation, which complement the exponents w_n(x) and w_n^*(x) defined by Mahler and Koksma.
Bugeaud, Yann, Laurent, Michel
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Approximation to real numbers by cubic algebraic integers. II [PDF]
Annals of Mathematics, 2003 In 1969, H. Davenport and W. M. Schmidt studied the problem of approximation to a real number by algebraic integers of degree at most three. They did so, using geometry of numbers, by resorting to the dual problem of finding simultaneous approximations to and ^2 by rational numbers with the same denominator.
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Thue's Fundamentaltheorem, I: The General Case
, 2010 In this paper, Thue's Fundamentaltheorem is analysed. We show that it includes, and often strengthens, known effective irrationality measures obtained via the so-called hypergeometric method as well as showing that it can be applied to previously ...
Voutier, Paul
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