Vol. 192, No. 2, 2000

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Cubic modular equations and new Ramanujan-type series for 1∕π

Heng Huat Chan and Wen-Chin Liaw

Vol. 192 (2000), No. 2, 219–238
Abstract

In this paper, we derive new Ramanujan-type series for 1∕π which belong to “Ramanujan’s theory of elliptic functions to alternative base 3” developed recently by B.C. Berndt, S. Bhargava, and F.G. Garvan.

Milestones
Received: 16 June 1998
Revised: 16 July 1998
Published: 1 February 2000
Authors
Heng Huat Chan
National University of Singapore
Kent Ridge, Singapore 119260
Republic of Singapore
Wen-Chin Liaw
University of Illinois
Urbana, Illinois 61801