Open Access
2013 On 2- and 4-dissections for some infinite products
Ernest X.W. Xia, X.M. Yao
Rocky Mountain J. Math. 43(6): 2033-2047 (2013). DOI: 10.1216/RMJ-2013-43-6-2033

Abstract

The 2- and 4-dissections of some infinite products are established in this paper. As corollaries of our results, we derive the 4-dissections of some continued fractions appearing in Ramanujan's notebooks and their reciprocals.

Citation

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Ernest X.W. Xia. X.M. Yao. "On 2- and 4-dissections for some infinite products." Rocky Mountain J. Math. 43 (6) 2033 - 2047, 2013. https://doi.org/10.1216/RMJ-2013-43-6-2033

Information

Published: 2013
First available in Project Euclid: 25 February 2014

zbMATH: 1345.11006
MathSciNet: MR3178455
Digital Object Identifier: 10.1216/RMJ-2013-43-6-2033

Subjects:
Primary: 11A55 , 30B70

Keywords: infinite product , Ramanujan's continued fraction , Theta functions

Rights: Copyright © 2013 Rocky Mountain Mathematics Consortium

Vol.43 • No. 6 • 2013
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