# ρ — Adic Analogues of Ramanujan Type Formulas for 1/π

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Department of Mathematics and Statistics, University of Calgary, Calgary AB, T2N 1N4, Canada

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Department of Mathematics, University of Washington, Seattle, WA 98195, USA

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Department of Mathematics, Cornell University, Ithaca, NY 14853, USA

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Department of Mathematics, Iowa State University, Ames, IA 50011, USA

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Lehrstuhl D für Mathematik, RWTH Aachen University, 52056 Aachen, Germany

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Department of Mathematics, Oregon State University, Corvallis, OR 97331, USA

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Author to whom correspondence should be addressed.

Received: 18 February 2013 / Revised: 26 February 2013 / Accepted: 1 March 2013 / Published: 13 March 2013

# Abstract

Following Ramanujan's work on modular equations and approximations of*Keywords:*Ramanujan type supercongruences; Atkin and Swinnerton-Dyer congruences; hypergeometric series; elliptic curves; complex multiplication; periods; modular forms; Picard–Fuchs equation

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