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)

Some algebraically independent continued fractions


Authors: Vichian Laohakosol and Patchara Ubolsri
Journal: Proc. Amer. Math. Soc. 95 (1985), 169-173
MSC: Primary 11J72; Secondary 11J70
MathSciNet review: 801317
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Using simple arguments, we prove algebraic independence of a class of continued fractions extending an earlier result of Bundschuh. We then apply it to give another proof of algebraic independence of numbers whose $ g$-adic and continued fraction expansions are explicitly known.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 11J72, 11J70

Retrieve articles in all journals with MSC: 11J72, 11J70


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0801317-0
PII: S 0002-9939(1985)0801317-0
Keywords: Algebraic independence, continued fractions, $ g$-adic expansion
Article copyright: © Copyright 1985 American Mathematical Society