Proceedings of the American Mathematical Society

Author(s): Hei-Chi Chan
Journal: Proc. Amer. Math. Soc. 137 (2009), 2849-2856.
MSC (2000): Primary 05A15, 05A30, 05A40
Posted: March 4, 2009
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Abstract: Jacobi proved an elegant identity involving eight-fold infinite products. In this paper, we give a new proof of this identity. A key ingredient of our proof is an identity satisfied by a Ramanujan-Selberg continued fraction.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 05A15, 05A30, 05A40

Hei-Chi Chan
Affiliation: Department of Mathematical Sciences, University of Illinois at Springfield, Springfield, Illinois 62703-5407
Email: chan.hei-chi@uis.edu

DOI: 10.1090/S0002-9939-09-09835-9
PII: S 0002-9939(09)09835-9
Keywords: Ramanujan-Selberg continued fraction, Jacobian identity
Received by editor(s): October 9, 2008,
Received by editor(s) in revised form: November 24, 2008
Posted: March 4, 2009
Communicated by: Ken Ono
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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