Ling LongAffiliation: Iowa State University and Cornell University Email: linglong02@gmail.com Title Of Talk: Ramanujan-type Supercongruences Abstract: In Ramanujan's work on modular equations and approximation to pi, he gave a list of formulas for 1 over pi in terms of values of special hypergeometric series. It is discovered by van Hamme and later formulated more explicitly by Zudilin that the corresponding truncated hypergeometric series satisfy surprising congruence properties. In this talk, we will discuss some recent results as well as work in progress regarding these so-called Ramanujan-type Supercongruences.
Last update made Wed Aug 1 17:26:48 EDT 2012.
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