Pablo Fernández Refolio

collaborators

2 papers

math.GM2026

Analytical Evaluation of Ramanujan Series for $1/ π$ via Degree-2, Degree-3, Degree-7, and Degree-19 Modular Transformations

Pablo Fernández Refolio

We provide an explicit analytical evaluation of Ramanujan-type series for $1/ π$ . Focusing on the singular moduli $k_{r}$ for $r \in {5, 7, 13, 37}$ , we demonstrate that the under…

math.GM2026

Ramanujan-Type Series of Signature 2: Analytical Evaluation via Degree-2 Transformations and Associated Harmonic Expansions

Pablo Fernández Refolio

We provide an explicit analytical evaluation of the known rational Ramanujan-type series for the theory of signature 2. Focusing on the singular moduli $k_{r}$ for $r \in \{2, 3, 4,…

Analytical Evaluation of Ramanujan Series for 1/π via Degree-2, Degree-3, Degree-7, and Degree-19 Modular Transformations

Ramanujan-Type Series of Signature 2: Analytical Evaluation via Degree-2 Transformations and Associated Harmonic Expansions

Analytical Evaluation of Ramanujan Series for $1/ π$ via Degree-2, Degree-3, Degree-7, and Degree-19 Modular Transformations