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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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A Khinchin Sequence
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by Thomas Wieting PDF
Proc. Amer. Math. Soc. 136 (2008), 815-824 Request permission

Abstract:

We prove that the geometric and harmonic means of the sequence $Z_2$ of positive integers proposed by Bailey, Borwein, and Crandall converge to the corresponding Khinchin Constants.
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Additional Information
  • Thomas Wieting
  • Affiliation: Department of Mathematics, Reed College, Portland, Oregon 97202
  • Email: wieting@reed.edu
  • Received by editor(s): January 12, 2007
  • Published electronically: November 30, 2007
  • Additional Notes: Thanks to R. C. Crandall for suggesting the subject of this paper.
  • Communicated by: Jonathan M. Borwein
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 815-824
  • MSC (2000): Primary 11Y65; Secondary 28D05
  • DOI: https://doi.org/10.1090/S0002-9939-07-09202-7
  • MathSciNet review: 2361853