Mathematics 2013, 1(1), 930; https://doi.org/10.3390/math1010009
ρ — Adic Analogues of Ramanujan Type Formulas for 1/π
^{1}
Department of Mathematics and Statistics, University of Calgary, Calgary AB, T2N 1N4, Canada
^{2}
Department of Mathematics, University of Washington, Seattle, WA 98195, USA
^{3}
Department of Mathematics, Cornell University, Ithaca, NY 14853, USA
^{4}
Department of Mathematics, Iowa State University, Ames, IA 50011, USA
^{5}
Lehrstuhl D für Mathematik, RWTH Aachen University, 52056 Aachen, Germany
^{6}
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
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Abstract
Following Ramanujan's work on modular equations and approximations ofKeywords:
Ramanujan type supercongruences; Atkin and SwinnertonDyer congruences; hypergeometric series; elliptic curves; complex multiplication; periods; modular forms; Picard–Fuchs equation
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Mathematics
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