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arXiv · 1206.3981

Ramanujan series upside-down

Jesús Guillera·Mathew Rogers
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Abstract

We prove that there is a correspondence between Ramanujan-type formulas for 1/\pi, and formulas for Dirichlet L-values. The same method also allows us to resolve certain values of the Epstein zeta function in terms of rapidly converging hypergeometric functions. The Epstein zeta functions were previously studied by Glasser and Zucker.

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Jesús Guillera, Mathew Rogers. 2012-06-18. Ramanujan series upside-down. https://doi.org/10.1017/s1446788714000147

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