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Title: Complex series for 1/π
Authors: Chan, H.H. 
Wan, J.
Zudilin, W.
Keywords: Hypergeometric series
Lambert series
Singular moduli
Issue Date: 2012
Citation: Chan, H.H., Wan, J., Zudilin, W. (2012). Complex series for 1/π. Ramanujan Journal 29 (1-3) : 135-144. ScholarBank@NUS Repository.
Abstract: Many series for 1/π were discovered since the appearance of S. Ramanujan's famous paper "Modular equations and approximation to π" published in 1914. Almost all these series involve only real numbers. Recently, in an attempt to prove a series for 1/π discovered by Z.-W. Sun, the authors found that a series for 1/π involving complex numbers is needed. In this article, we illustrate a method that would allow us to prove series of this type. © 2012 Springer Science+Business Media, LLC.
Source Title: Ramanujan Journal
ISSN: 13824090
DOI: 10.1007/s11139-011-9358-2
Appears in Collections:Staff Publications

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