Jesús Guillera, Mathew Rogers
Published 2012-06-18Version 1
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.
On the value distribution and moments of the Epstein zeta function to the right of the critical strip
On the zeros of the Epstein zeta function
On the universality of the Epstein zeta function
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