Results 11 to 20 of about 4,546 (229)

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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Multilevel information fusion for cryptographic substitution box construction based on inevitable random noise in medical imaging

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, Khalid Saleem, Mohammed Ali Alshara, Shariq Bashir   +3 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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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, Antanas Laurinčikas, Brigita Žemaitienė   +2 more
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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, Friedrich Götze, Nikolai I. Kalosha   +2 more
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Product of deferred Cesàro and deferred weighted statistical probability convergence and its applications to Korovkin-type theorems

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/
Mueller, Julia, Schmidt, W. M.
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The relationship between algebraic equations and $(n,m)$-forms, their degrees and recurrent fractions

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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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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