Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Maślanka, Krzysztof"'
Autor:
Maślanka, Krzysztof
We construct certain entire function $\lambda(s)$ which for integer s coincides with the well-known Keiper-Li coefficients, i.e. $\lambda(n)={\lambda}_{n}$. This is an even function ${\lambda}(s)={\lambda}(-s)$ and has an infinitude of complex zeros
Externí odkaz:
http://arxiv.org/abs/2211.08993
Autor:
Maślanka, Krzysztof
Publikováno v:
Computational Methods in Science and Technology 28 (2022) 123-131
We present a new asymptotic formula for the Stieltjes constants which is both simpler and more accurate than several others published in the literature (see e.g. \cite{Fekih-Ahmed}, \cite{Knessl Coffey}, \cite{Paris}). More importantly, it is also a
Externí odkaz:
http://arxiv.org/abs/2210.07244
Publikováno v:
Computational Methods in Science and Technology 28 (2022) 47-59
We present a simple but efficient method of calculating Stieltjes constants at a very high level of precision, up to about 80000 significant digits. This method is based on the hypergeometric-like expansion for the Riemann zeta function presented by
Externí odkaz:
http://arxiv.org/abs/2210.04609
Autor:
Maslanka, Krzysztof D., Wolf, Marek
Khnichin's theorem is a surprising and still relatively little known result. It can be used as a specific criterion for determining whether or not any given number is irrational. In this paper we apply this theorem as well as the Gauss--Kuzmin theore
Externí odkaz:
http://arxiv.org/abs/2009.03277
Akademický článek
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Autor:
Maślanka, Krzysztof
Certain analytical expressions which "feel" the divisors of natural numbers are investigated. We show that these expressions encode to some extent the well-known algorithm of the sieve of Eratosthenes. Most part of the text is written in pedagogical
Externí odkaz:
http://arxiv.org/abs/1702.07876
Autor:
Skokowski, Paweł, Kelner, Jan M., Malon, Krzysztof, Maślanka, Krzysztof, Birutis, Agnius, Vazquez, Miguel A., Saha, Souradip, Low, Warren, Czapiewska, Agnieszka, Magiera, Jarosław, Rajchowski, Piotr, Ambroziak, Sławomir
Publikováno v:
In Procedia Computer Science 2022 205:258-267
Akademický článek
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Autor:
Maślanka, Krzysztof, Cisło, Jerzy
We consider an elementary discrete process which starts from purely random configuration and leads to well-ordered and stable state. Complete analytical solution to this problem is presented.
Comment: LaTeX, 13 pages, 6 figures (included)
Comment: LaTeX, 13 pages, 6 figures (included)
Externí odkaz:
http://arxiv.org/abs/0706.3785
Autor:
Maslanka, Krzysztof
Criterion for the Riemann hypothesis found by B\'{a}ez-Duarte involves certain real coefficients $c_{k\text{}}$defined as alternating binomial sums. These coefficients can be effectively investigated using N\"{o}% rlund-Rice's integrals. Their behavi
Externí odkaz:
http://arxiv.org/abs/math/0603713