Cubic modular equations and new Ramanujan-type series for 1/pi

Authors
Citation
Hh. Chan et Wc. Liaw, Cubic modular equations and new Ramanujan-type series for 1/pi, PAC J MATH, 192(2), 2000, pp. 219-238
Citations number
10
Categorie Soggetti
Mathematics
Journal title
PACIFIC JOURNAL OF MATHEMATICS
ISSN journal
00308730 → ACNP
Volume
192
Issue
2
Year of publication
2000
Pages
219 - 238
Database
ISI
SICI code
0030-8730(200002)192:2<219:CMEANR>2.0.ZU;2-5
Abstract
In this paper, we derive new Ramanujan-type series for 1/pi 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.