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Explicit evaluations of a Ramanujan-Selberg continued fraction

Author(s): Liang-Cheng Zhang
Journal: Proc. Amer. Math. Soc. 130 (2002), 9-14.
MSC (1991): Primary 11A55, 11Y65, 30B70
Posted: May 22, 2001
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Abstract:

This paper gives explicit evaluations for a Ramanujan-Selberg continued fraction in terms of class invariants and singular moduli.


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Additional Information:

Liang-Cheng Zhang
Affiliation: Department of Mathematics, Southwest Missouri State University, Springfield, Missouri 65804
Email: liz917f@smsu.edu

DOI: 10.1090/S0002-9939-01-06183-4
PII: S 0002-9939(01)06183-4
Keywords: Continued fraction, class invariant, singular modulus
Received by editor(s): May 16, 2000
Posted: May 22, 2001
Additional Notes: Supported in part by an SMSU Faculty Summer Fellowship, 1999
Dedicated: To the memory of my father, Professor Guang-Da Zhang
Communicated by: David E. Rohrlich
Copyright of article: Copyright 2001, American Mathematical Society


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