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https://doi.org/10.1016/j.jnt.2009.01.014
| Title: | The Rogers-Ramanujan continued fraction and a new Eisenstein series identity | Authors: | Chan, H.H. Chan, S.H. Liu, Z.-G. |
Keywords: | Eisenstein series Elliptic function Rogers-Ramanujan's continued fraction Theta function |
Issue Date: | Jul-2009 | Citation: | Chan, H.H., Chan, S.H., Liu, Z.-G. (2009-07). The Rogers-Ramanujan continued fraction and a new Eisenstein series identity. Journal of Number Theory 129 (7) : 1786-1797. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jnt.2009.01.014 | Abstract: | With two elementary trigonometric sums and the Jacobi theta function θ1, we provide a new proof of two Ramanujan's identities for the Rogers-Ramanujan continued fraction in his lost notebook. We further derive a new Eisenstein series identity associated with the Rogers-Ramanujan continued fraction. © 2009 Elsevier Inc. All rights reserved. | Source Title: | Journal of Number Theory | URI: | http://scholarbank.nus.edu.sg/handle/10635/104342 | ISSN: | 0022314X | DOI: | 10.1016/j.jnt.2009.01.014 |
| Appears in Collections: | Staff Publications |
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