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First we give general formulas for proving real or complex Ramanujan series for . Then, as an example, we apply them for providing complete proofs of the fastest series for due to Ramanujan using Russell and Weber modular polynomials. We recommend the reader to use a Maple program which is in the web of the author for automatically proving any Ramanujan-type series for .

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生成AI智能校验的中文版本