Please use this identifier to cite or link to this item:
https://doi.org/10.1016/S0001-8708(02)00054-3
| Title: | Analogues of Jacobi's inversion formula for the incomplete elliptic integral of the first kind | Authors: | Chan, H.H. Liu, Z.-G. |
Keywords: | Cubic theta functions Eisenstein series Incomplete elliptic integrals |
Issue Date: | 1-Mar-2003 | Citation: | Chan, H.H., Liu, Z.-G. (2003-03-01). Analogues of Jacobi's inversion formula for the incomplete elliptic integral of the first kind. Advances in Mathematics 174 (1) : 69-88. ScholarBank@NUS Repository. https://doi.org/10.1016/S0001-8708(02)00054-3 | Abstract: | In this article, we revisit Ramanujan's cubic analogue of Jacobi's inversion formula for the classical elliptic integral of the first kind. Our work is motivated by the recent work of Milne (Ramanujan J. 6(1) (2002) 7-149), Chan and Chua (Ramanujan J., to appear) on the representations of integers as sums of even squares. © 2003 Elsevier Science (USA). All rights reserved. | Source Title: | Advances in Mathematics | URI: | http://scholarbank.nus.edu.sg/handle/10635/104689 | ISSN: | 00018708 | DOI: | 10.1016/S0001-8708(02)00054-3 |
| Appears in Collections: | Staff Publications |
Show full item record
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.