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https://scholarbank.nus.edu.sg/handle/10635/103089
Title: | Cubic singular moduli, Ramanujan's class invariants λn and the explicit shimura reciprocity law | Authors: | Chan, H.H. Gee, A. Tan, V. |
Issue Date: | Jan-2003 | Citation: | Chan, H.H., Gee, A., Tan, V. (2003-01). Cubic singular moduli, Ramanujan's class invariants λn and the explicit shimura reciprocity law. Pacific Journal of Mathematics 208 (1) : 23-37. ScholarBank@NUS Repository. | Abstract: | In this paper, we use the explicit Shimura Reciprocity Law to compute the cubic singular moduli α*n, which are used in the constructions of new rapidly convergent series for 1/π. We also complete a table of values for the class invariant λn initiated by S. Ramanujan on page 212 of his Lost Notebook. | Source Title: | Pacific Journal of Mathematics | URI: | http://scholarbank.nus.edu.sg/handle/10635/103089 | ISSN: | 00308730 |
Appears in Collections: | Staff Publications |
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