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An algorithm of infinite sums representations and Tasoev continued fractions
Author(s):
Takao
Komatsu.
Journal:
Math. Comp.
74
(2005),
2081-2094.
MSC (2000):
Primary 11A55, 11J70, 11Y16
Posted:
February 14, 2005
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Abstract:
For any given real number, its corresponding continued fraction is unique. However, given an arbitrary continued fraction, there has been no general way to identify its corresponding real number. In this paper we shall show a general algorithm from continued fractions to real numbers via infinite sums representations. Using this algorithm, we obtain some new Tasoev continued fractions.
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Additional Information:
Takao
Komatsu
Affiliation:
Department of Mathematical System Science, Faculty of Science and Technology, Hirosaki University, Hirosaki, 036-8561 Japan
Email:
komatsu@cc.hirosaki-u.ac.jp
DOI:
10.1090/S0025-5718-05-01752-7
PII:
S 0025-5718(05)01752-7
Keywords:
Continued fractions,
infinite sums,
Tasoev continued fractions
Received by editor(s):
November 5, 2003
Received by editor(s) in revised form:
June 15, 2004
Posted:
February 14, 2005
Additional Notes:
This work was supported in part by a grant from the Sumitomo Foundation (No. 030110).
Copyright of article:
Copyright
2005,
American Mathematical Society
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