From a Ramanujan-Selberg continued fraction to a Jacobian identity

Chan, Hei-Chi

doi:10.1090/S0002-9939-09-09835-9

From a Ramanujan-Selberg continued fraction to a Jacobian identity
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by Hei-Chi Chan

Proc. Amer. Math. Soc. 137 (2009), 2849-2856

DOI: https://doi.org/10.1090/S0002-9939-09-09835-9

Published electronically: 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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