On the universality of Somos' constant
type: Item
instance of: scholarly article
title: On the universality of Somos' constant
DOI: 10.4171/EM/449
published in: Elemente der Mathematik
publication date: 2022-09-20T00:00:00Z
full work available at URL: https://arxiv.org/abs/2006.02882
review text: One can note author's abstract: ``We show that Somos' constant is universal in a sense that is similar to the universality of the Khinchin constant. In addition, we introduce generalized Somos' constants, which are universal in a similar sense.'' The Khinchin constant and Somos' constant are recalled. The universality is described. The notion of a generalized Somos constant is introduced with brief explanations and expressions of generalized Somos constants using values of the generalized Euler-constant function are given.
reviewed by: Symon Serbenyuk
Mathematics Subject Classification ID: 11K55
Mathematics Subject Classification ID: 37A25
zbMATH DE Number: 7588249
zbMATH Keywords: Somos' constant
zbMATH Keywords: the Khinchin constant
zbMATH Keywords: generalized Euler-constant function
author: Jörg Neunhäuserer
describes a project that uses: OEIS
MaRDI profile type: Publication
cites work: Q4440308
cites work: Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
cites work: Q4760013
cites work: Estimating the Somos' quadratic recurrence constant
cites work: On the Hausdorff dimension of fractals given by certain expansions of real numbers
cites work: The generalized-Euler-constant function \(\gamma (z)\) and a generalization of Somos's quadratic recurrence constant
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description: scientific article; zbMATH DE number 7588249