Proof of a rational Ramanujan-type series for 1/π. The fastest one in level 3

2018/11/03 by Jesús Guillera, Guillera, Jesús
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1811.01200

openalex publication_date 2018/11/03 · openalex created_date 2022/08/02 · openalex updated_date 2026/07/28

Abstract

Using a modular equation of level 3 and degree 23 due to Chan and Liaw, we prove the fastest convergent rational Ramanujan-type series for 1/π of level 3.

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