发表机构
Madrid, Spain（马德里）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究特征2的\(1/\pi\)的拉马努金型级数，核心方法是通过二次模变换，主要贡献是对其进行明确解析求值并证明相关椭圆恒等式。
AI 中文摘要
我们对特征2的\(1/\pi\)的拉马努金型级数进行了明确的解析求值。聚焦于\(r\in\{2,3,4,7\}\)时的奇异模\(k_{r}\)，我们证明了相关椭圆恒等式可通过二次模变换建立。
英文摘要
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 $r \in \{2, 3, 4, 7\}$, we demonstrate that the underlying elliptic identities can be established through modular transformations of degree 2. In particular, we showcase a family of rational harmonic Ramanujan-type series for $1/π$ involving higher-degree polynomials
Comments17 Pages. Fixed some typos
