Ramanujan Series Upside-down

نویسندگان

  • JESUS GUILLERA
  • MATHEW ROGERS
چکیده

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

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تاریخ انتشار 2013