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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the modular equations of degree $ 3$


Author: Li-Chien Shen
Journal: Proc. Amer. Math. Soc. 122 (1994), 1101-1114
MSC: Primary 11F27; Secondary 33E05
MathSciNet review: 1212287
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Abstract: In this paper, we use the twelve Jacobian elliptic functions to derive a collection of 24 identities which are essential in the study of the modular equations of degree 3.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1212287-3
PII: S 0002-9939(1994)1212287-3
Keywords: Theta functions, Jacobian elliptic functions, Lambert series, modular identity
Article copyright: © Copyright 1994 American Mathematical Society