The fastest series for $1/\pi$ due to Ramanujan. Proofs from modular polynomials
Number Theory
2025-07-21 v13
Abstract
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 .
Cite
@article{arxiv.1911.03968,
title = {The fastest series for $1/\pi$ due to Ramanujan. Proofs from modular polynomials},
author = {Jesús Guillera},
journal= {arXiv preprint arXiv:1911.03968},
year = {2025}
}
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14 pages