A General Method for Constructing Ramanujan Formulas for $1/π^ν$

In this article we give the theoretical background for generating Ramanujan type $1/π^{2ν}$ formulas. As applications of our method we give a general construction of $1/π^4$ series and examples of $1/π^6$ series. We also study the elliptic alpha function whose values are useful for such evaluations.

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