ON EVALUATIONS OF THE CUBIC CONTINUED FRACTION BY A MODULAR EQUATION OF DEGREE 9

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We show how to evaluate the cubic continued fraction G(e(-pi root n)) and G(-e(-pi root n)) for n = 4(m), 4(-m) , 2 center dot 4(m), and 2(-1) center dot 4(-m) for some nonnegative integer m by using modular equations of degree 9. We then find some explicit values of them.
Publisher
KOREAN SOC MATHEMATICAL EDUCATION
Issue Date
2016-11
Language
English
Article Type
Article
Citation

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, v.23, no.4, pp.389 - 389

ISSN
1226-0657
DOI
10.7468/jksmeb.2016.23.4.389
URI
http://hdl.handle.net/10203/225851
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