On the universality of Somos' constant

DOI10.4171/EM/449MaRDI QIDQ2674986

Jörg Neunhäuserer

Publication date: 20 September 2022

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.02882

zbMATH Keywords

generalized Euler-constant functionSomos' constantthe Khinchin constant

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Ergodicity, mixing, rates of mixing (37A25)

Uses Software

• OEIS

Cites Work

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• On the Hausdorff dimension of fractals given by certain expansions of real numbers
• Estimating the Somos' quadratic recurrence constant
• The generalized-Euler-constant function \(\gamma (z)\) and a generalization of Somos's quadratic recurrence constant
• Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent

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