Results 21 to 30 of about 86,722,945 (268)
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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Continued fractions for some transcendental numbers [PDF]
, 2015 We consider series of the form $p/q + \sum_{j=2}^\infty 1/x_j$, where $x_1=q$ and the integer sequence $x_n$ satisfies a certain non-autonomous recurrence of second order, which entails that $x_n|x_{n+1}$ for n?1.
Andrew N. W. Hone, Hone, Andrew N.W.
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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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On simultaneous approximation of algebraic numbers
Mathematika, 2022 Let $Γ\subset \bar{\mathbb Q}^{\times}$ be a finitely generated multiplicative group of algebraic numbers. Let $α_1,\ldots,α_r\in\bar{\mathbb Q}^\times$ be algebraic numbers which are $\mathbb{Q}$-linearly independent and let $ε>0$ be a given real number.
Kumar, Veekesh, Thangadurai, R.
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Diophantine approximation by conjugate algebraic numbers
, 2006 In 1969, Davenport and Schmidt provided upper bounds for the approximation of a real number by algebraic integers. Their novel approach was based on the geometry of numbers and involved the duality for convex bodies.
Alain, Guillaume
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On approximation of real numbers by algebraic numbers of bounded degree [PDF]
, 2007 Dirichlet proved that for any real irrational number ξ there exist infinitely many rational numbers p/q such that |ξ−p/q|2, is still unknown.
Kiryl I. Tsishchanka +1 more
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Approximation of p-adic numbers by algebraic numbers of bounded degree [PDF]
, 1978 The approximation of p-adic numbers by algebraic numbers of bounded degree is studied. Results similar to those obtained by Wirsing and by Davenport and Schmidt in the real case are proved in the p-adic case.
Morrison, John F.
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A note on elliptic functions and approximation by algebraic numbers of bounded degree. [PDF]
, 1983 Let p be a Weierstrass elliptic function with algebraic invariants g2 and g3. By a counterexample it is shown that lower bounds for the simultaneous approximation of p(a), b and p(ab) by algebraic numbers of bounded degree cannot be given without and ...
Bijlsma, Alex +3 more
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Diophantine Approximation with Algebraic Points of Bounded Degree [PDF]
, 2000 In this paper, we extend Schmidt's subspace theorem to the approximation of algebraic numbers by algebraic points of bounded ...
Wang, Julie Tzu-Yueh, Ru, Min
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Bayesian inference of biochemical kinetic parameters using the linear noise approximation [PDF]
, 2009 Background Fluorescent and luminescent gene reporters allow us to dynamically quantify changes in molecular species concentration over time on the single cell level.
David A Rand +14 more
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