Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

A note on a Jacobian identity

Author(s): John A. Ewell
Journal: Proc. Amer. Math. Soc. 126 (1998), 421-423.
MSC (1991): Primary 33D10; Secondary 05A19
Retrieve article in: PDF DVI PostScript
This article is available free of charge

Abstract | References | Similar articles | Additional information

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.

References:

1.: J. A. Ewell, Arithmetical consequences of a sextuple product identity, Rocky Mountain J. Math., v. 25, 1995. MR 97e:11129
2.: G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 4th ed., Clarenden Press, Oxford, 1960. MR 81i:10002 (5th edition review)
3.: E. T. Whittaker and G. N. Watson, A course of modern analysis, Cambridge University Press, New York, 1973.


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS