Results 1 to 10 of about 157,767 (127)
Measures of algebraic approximation to Markoff extremal numbers [PDF]
Journal of the London Mathematical Society, 2010 Let xi be a real number which is neither rational nor quadratic over Q. Based on work of Davenport and Schmidt, Bugeaud and Laurent have shown that, for any real number theta, there exist a constant c>0 and infinitely many non-zero polynomials P in Z[T ...
Roy, Damien, Zelo, Dmitrij
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Rational Approximations to Certain Algebraic Numbers
, 2023 W.M.Schmit[11] conjectured that for any$\;\theta$ with deg$\;\theta\geq 3,$ there is no constant$\;C=C(\theta)$ so that$\;|p-q\theta|>Cq^{-1}$ for every rationa$\;p/q.$ [12,p26] states that the computations of the first several thousand partial quotients
Li, Jinxiang
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Fractional parts of powers of real algebraic numbers
Comptes Rendus. Mathématique, 2022 Let $\alpha $ be a real algebraic number greater than $1$. We establish an effective lower bound for the distance between an integral power of $\alpha $ and its nearest integer.
Bugeaud, Yann
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Scientific Reports, 2021 Block cipher has been a standout amongst the most reliable option by which data security is accomplished. Block cipher strength against various attacks relies on substitution boxes.
Muhammad Fahad Khan +3 more
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On Joint Universality in the Selberg–Steuding Class
Mathematics, 2023 The famous Selberg class is defined axiomatically and consists of Dirichlet series satisfying four axioms (Ramanujan hypothesis, analytic continuation, functional equation, multiplicativity).
Roma Kačinskaitė +2 more
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Remarks on the approximation to an algebraic number by algebraic numbers. [PDF]
Michigan Mathematical Journal, 1986 Die Verff. wenden eine in zwei früheren Arbeiten [vgl. \textit{E. Bombieri}, Acta Math. 148, 255-296 (1982; Zbl 0505.10015) und Verff., J. Reine Angew. Math. 342, 173-196 (1983; Zbl 0516.10024)] entwickelte Methode an, um eine algebraische Zahl durch algebraische Zahlen aus einem passenden reellen algebraischen Zahlkörper effektiv abzuschätzen.
Bombieri, E., Mueller, J.
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Counting algebraic numbers in short intervals with rational points
Журнал Белорусского государственного университета: Математика, информатика, 2019 In 2012 it was proved that real algebraic numbers follow a nonuniform but regular distribution, where the respective definitions go back to H. Weyl (1916) and A. Baker and W. Schmidt (1970).
Vasily I. Bernik +2 more
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Universitas Scientiarum, 2020 In the present work, we introduce and study the notion of statistical probability convergence for sequences of random variables as well as the idea of statistical convergence for sequences of real numbers, which are defined over a Banach space via the ...
Bidu Bhusan Jena , Susanta Kumar Paikray
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On the Number of Good Rational Approximations to Algebraic Numbers [PDF]
Proceedings of the American Mathematical Society, 1989 We study rational approximations x / y x/y to algebraic and, more generally, to real numbers ξ \xi . Given δ > 0 \delta > 0 , and writing L = log ( 1 + δ ) L
Mueller, Julia, Schmidt, W. M.
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Diophantine approximation and deformation [PDF]
, 1999 We associate certain curves over function fields to given algebraic power series and show that bounds on the rank of Kodaira-Spencer map of this curves imply bounds on the exponents of the power series, with more generic curves giving lower exponents. If
Kim, Minhyong +2 more
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