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|Title:||Cubic singular moduli, Ramanujan's class invariants λn and the explicit shimura reciprocity law|
|Authors:||Chan, H.H. |
|Source:||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|
|Appears in Collections:||Staff Publications|
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