Vol. 208, No. 1, 2003

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Heng Huat Chan & Victor Tan & Alice Gee

Abstract

In this paper, we use the explicit Shimura Reciprocity Law to compute the cubic singular moduli αn*, 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.

Authors
Heng Huat Chan
Department of Mathematics
National University of Singapore
Kent Ridge, Singapore 119260
Republic of Singapore
Victor Tan
Department of Mathematics
National University of Singapore
Kent Ridge, Singapore 119260
Republic of Singapore
Alice Gee
Department of Mathematics
University of Amsterdam
The Netherlands