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Approximation of complex algebraic numbers by algebraic numbers of bounded degree
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2007 We investigate how well complex algebraic numbers can be approximated by algebraic numbers of degree at most n. We also investigate how well complex algebraic numbers can be approximated by algebraic integers of degree at most n+1.
Bugeaud, Yann, Evertse, Jan-Hendrik
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Approximation of an algebraic number by products of rational numbers and units [PDF]
Journal of the Australian Mathematical Society, 2013 We relate a previous result of ours on families of Diophantine equations having only trivial solutions with a result on the approximation of an algebraic number by products of rational numbers and units.
Levesque, Claude, Waldschmidt, Michel
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Simultaneous approximation of a real number by all conjugates of an algebraic number [PDF]
Acta Arithmetica, 2007 Using a method of H. Davenport and W. M. Schmidt, we show that, for each positive integer n, the ratio 2/n is the optimal exponent of simultaneous approximation to real irrational numbers 1) by all conjugates of algebraic numbers of degree n, and 2) by ...
Alain, Guillaume
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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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Joint Universality of the Zeta-Functions of Cusp Forms
Mathematics, 2021 Let F be the normalized Hecke-eigen cusp form for the full modular group and ζ(s,F) be the corresponding zeta-function. In the paper, the joint universality theorem on the approximation of a collection of analytic functions by shifts (ζ(s+ih1τ,F),…,ζ(s ...
Renata Macaitienė
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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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Statistical Deferred Nörlund Summability and Korovkin-Type Approximation Theorem
Mathematics, 2020 The concept of the deferred Nörlund equi-statistical convergence was introduced and studied by Srivastava et al. [Rev. Real Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. (RACSAM) 112 (2018), 1487–1501].
Hari Mohan Srivastava +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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Approximation by Shifts of Compositions of Dirichlet L-Functions with the Gram Function
Mathematics, 2020 In this paper, a joint approximation of analytic functions by shifts of Dirichlet L-functions L ( s + i a 1 t τ , χ 1 ) , … , L ( s + i a r t τ , χ r ) , where a 1 , … , a r are non-zero real algebraic numbers linearly ...
Artūras Dubickas +2 more
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