Complex series for 1/pi

作者:Chan Heng Huat*; Wan James; Zudilin Wadim
来源:Ramanujan Journal, 2012, 29(1-3): 135-144.
DOI:10.1007/s11139-011-9358-2

摘要

Many series for 1/pi were discovered since the appearance of S. Ramanujan%26apos;s famous paper %26quot;Modular equations and approximation to pi%26quot; published in 1914. Almost all these series involve only real numbers. Recently, in an attempt to prove a series for 1/pi discovered by Z.-W. Sun, the authors found that a series for 1/pi involving complex numbers is needed. In this article, we illustrate a method that would allow us to prove series of this type.

  • 出版日期2012-12

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