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A note on a Jacobian identity

Author: John A. Ewell
Journal: Proc. Amer. Math. Soc. 126 (1998), 421-423
MSC (1991): Primary 33D10; Secondary 05A19
MathSciNet review: 1451797
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Abstract: An identity involving eight-fold infinite products, first derived by Jacobi in his theory of theta functions, is the subject of this note. Three similar identities, including one that implies Jacobi's identity, are presented.

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John A. Ewell
Affiliation: Department of Mathematical Sciences, Northern Illinois University, DeKalb, Illinois 60115

Keywords: Identities of Jacobi, theta functions
Received by editor(s): July 25, 1996
Communicated by: Hal L. Smith
Article copyright: © Copyright 1998 American Mathematical Society