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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Dependence on dimension of a constant related to the Grötzsch ring


Author: Glen D. Anderson
Journal: Proc. Amer. Math. Soc. 61 (1976), 77-80
MSC: Primary 30A60
MathSciNet review: 0442217
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Abstract: For the constant $ {\lambda _n} = {\lim _{a \to 0}}(\bmod {R_{G,n}}(a) + \log a)$ associated with the Grötzsch extremal ring $ {R_{G,n}}$ in euclidean $ n$-space, we obtain the limit $ {\lim _{n \to \infty }}\lambda _n^{1/n} = e$.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0442217-2
Article copyright: © Copyright 1976 American Mathematical Society