Results 11 to 20 of about 4,951 (270)

Approximation of complex algebraic numbers by algebraic numbers of bounded degree [PDF]

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2009
34 ...
Bugeaud, Yann, Evertse, Jan-Hendrik
openaire   +4 more sources

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
doaj   +1 more source

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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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.
openaire   +3 more sources

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
doaj   +1 more source

Diophantine approximation by conjugate algebraic numbers [PDF]

, 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
core   +3 more sources

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, Bidu Bhusan Jena, Susanta Kumar Paikray   +2 more
doaj   +1 more source

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
doaj   +1 more source

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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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, Ramūnas Garunkštis, Antanas Laurinčikas   +2 more
doaj   +1 more source