Mat RogersAffiliation: University of Montreal Email: mathewrogers@gmail.com Title Of Talk: Ramanujan series upside-down URL: http://arxiv.org/abs/1206.3981 Abstract: In this talk I will describe a correspondence between Ramanujan-type formulas for $1/\pi$, and a class of formulas for Dirichlet $L$-values evaluated at 2. A few examples of these identities were previously discovered and proved with the computational methods, by Sun, Zeilberger, and others. Our new approach allows us to construct proofs using modularity properties of hypergeometric functions. As a corollary we can construct rapidly converging formulas for Epstein zeta functions. This is joint work with Jesus Guillera. WARNING: This page contains MATH-JAX
Last update made Wed Oct 24 15:31:56 EDT 2012.
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