Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A Khinchin Sequence


Author: Thomas Wieting
Journal: Proc. Amer. Math. Soc. 136 (2008), 815-824
MSC (2000): Primary 11Y65; Secondary 28D05
Published electronically: November 30, 2007
MathSciNet review: 2361853
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 11Y65, 28D05

Retrieve articles in all journals with MSC (2000): 11Y65, 28D05


Additional Information

Thomas Wieting
Affiliation: Department of Mathematics, Reed College, Portland, Oregon 97202
Email: wieting@reed.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-07-09202-7
PII: S 0002-9939(07)09202-7
Keywords: Khinchin Sequence, continued fraction expansion, geometric mean, harmonic mean
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
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.