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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the Lévy constants for quadratic irrationals
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by Jun Wu PDF
Proc. Amer. Math. Soc. 134 (2006), 1631-1634 Request permission

Abstract:

We prove that the set of Lévy constants for quadratic irrationals is dense in $[\log \frac {\sqrt {5}+1}{2}, \infty )$.
References
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Additional Information
  • Jun Wu
  • Affiliation: Department of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, People’s Republic of China
  • Email: wujunyu@public.wh.hb.cn
  • Received by editor(s): January 28, 2005
  • Published electronically: December 15, 2005
  • Additional Notes: The author was supported in part by the Kua-Shi-Ji Foundation of Educational Committee and NSFC (10571138). This work was done during the author’s visit to the LAMFA, CNRS UMR 6140, Amiens; he would like to thank the institution for their warm hospitality.
  • Communicated by: David E. Rohrlich
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 1631-1634
  • MSC (2000): Primary 11K50, 11J70
  • DOI: https://doi.org/10.1090/S0002-9939-05-08283-3
  • MathSciNet review: 2204273