On the universality of Somos' constant
J\"org Neunh\"auserer
TL;DR
This paper demonstrates that Somos' constant exhibits a universal property akin to the Khinchin constant and introduces generalized Somos' constants with similar universality features.
Contribution
It establishes the universality of Somos' constant and proposes generalized versions with comparable universal characteristics.
Findings
Somos' constant is universal like the Khinchin constant.
Introduction of generalized Somos' constants with universality.
The universality concept applies to a broader class of constants.
Abstract
We show that Somos' constant is universal in 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.
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