Results 21 to 30 of about 157,970 (240)

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

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

The complexity of approximating the complex-valued Potts model [PDF]

, 2021
We study the complexity of approximating the partition function of the $q$-state Potts model and the closely related Tutte polynomial for complex values of the underlying parameters.
Galanis, Andreas, Goldberg, Leslie Ann, Herrera-Poyatos, Andrés   +2 more
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
doaj   +1 more source

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

Tong's spectrum for Rosen continued fractions [PDF]

, 2006
The Rosen fractions are an infinite set of continued fraction algorithms, each giving expansions of real numbers in terms of certain algebraic integers.
Kraaikamp, Cor, Schmidt, Thomas A., Smeets, Ionica   +2 more
core   +3 more sources

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
doaj   +1 more source

APPROXIMATING NUMBERS WITH MISSING DIGITS BY ALGEBRAIC NUMBERS [PDF]

Proceedings of the Edinburgh Mathematical Society, 2006
AbstractWe show that for a given base $b$ and a proper subset $E\subset\{0,\dots,b-1\}$, $\#E\ltb-1$, the set of numbers $x\in[0,1]$ that have no digits from $E$ in their expansion to base $b$ consists almost exclusively of $S^*$-numbers of type at most $\min\{2,\log b/\log(b-\#E)\}$.
openaire   +2 more sources