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Quintic and septic Eisenstein series |
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| Authors: | Shaun Cooper Pee Choon Toh |
| Affiliation: | (1) Institute of Information and Mathematical Sciences, Massey University-Albany, Private Bag 102904, North Shore Mail Centre, Auckland, New Zealand;(2) Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore, 117543, Singapore |
| Abstract: | Using results that were well-known to Ramanujan, we give proofs of some results for Eisenstein series in the lost notebook. Our proofs have the additional advantage that it is not necessary to know the results in advance; that is, the proofs are derivations as opposed to verifications. |
| Keywords: | Convolution sum Dedekind eta function Eisenstein series Lost notebook Modular function Rogers-Ramanujan continued fraction |
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