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arXiv · 1911.03968

The fastest series for $1/π$ due to Ramanujan. Proofs from modular polynomials

Jesús Guillera
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Abstract

First we give general formulas for proving real or complex Ramanujan series for $1/π$. Then, as an example, we apply them for providing complete proofs of the fastest series for $1/π$ 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 $1/π$.

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Jesús Guillera. 2025-07-18. The fastest series for $1/π$ due to Ramanujan. Proofs from modular polynomials. https://arxiv.org/abs/1911.03968

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