- G. Almkvist, W. Zudilin. "Differential Equations, Mirror Maps and Zeta Values." In Proceedings of the BIRS Workshop "Calabi–Yau Varieties and Mirror Symmetry" (Banff, December 6–11, 2003), edited by J. Lewis, S.-T. Yau, and N. Yui. Cambridge, MA: International Press, and Providence, RI: American Mathematical Society, 2003.
- B. C. Berndt and H. H. Chan. "Eisenstein Series and Approximation to π." Illinois Journal of Mathematics 45 (2001), 75–90.
- J. M. Borwein and P. B. Borwein. Pi and the AGM. New York: Wiley Interscience, 1987.
- P. B. Borwein, K. G. Hare, and A. Meichsner. "Reverse Symbolic Computations, the identify Function." Preprint.
- H. H. Chan, W. C. Liaw, and V. Tan. "Ramanujan's Class Invariant λn and a New Class of Series for 1/π." Journal of the London Mathematical Society 64 (2001), 93–106.
- H. H. Chan, S. H. Chan, and Z. Liu. "Domb's Numbers and Ramanujan–Sato Type Series for 1/π." Advances in Mathematics 186 (2004), 396–410.
- H. H. Chan. "Some New Identities Involving π, 1/π and 1/π2." Manuscript, 2005.
- D. V. Chudnovsky and G. V. Chudnovsky. "Approximations and Complex Multiplication According to Ramanujan." In Ramanujan Revisited: Proceedings of the Centenary Conference, Universityof Illinois at Urbana-Champaign, June 1–5, 1987, edited by G. E. Andrews, B. C. Berndt, and R. A. Rankin, 375–472. Boston: Academic Press, 1987.
- J. Guillera. "Some Binomial Series Obtained by the WZ-Method." Advances in Applied Mathematics 29 (2002), 599–603.
- J. Guillera. "About a New Kind of Ramanujan Type Series." Experimental Mathematics 12 (2003), 507–510.
- J. Guillera. "Generators of Some Ramanujan Formulas." The Ramanujan Journal 11 (2006), 41–48.
- J. Guillera. "Hypergeometric Identities for 10 Extended Ramanujan Type Series." To appear in The Ramanujan Journal.
- S. Ramanujan. "Modular Equations and Approximations to π." Quarterly Journal of Mathematics 45 (1914), 350–372.
- T. Sato. "Apéry Numbers and Ramanujan's Series for 1/π." Abstract of a talk presented at The Annual Meeting of the Mathematical Society of Japan, March 28- 31, 2002.
- Y. Yang. "On Differential Equations Satisfied by Modular Forms." Mathematische Zeitschrift 246 (2004), 1–19.
- Y. Yang. Personal communication, 2005.
A New Method to Obtain Series for 1/π and 1/π2
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