论文标题
由模块化形式引起的广义Ramanujan-Sato系列
Generalized Ramanujan-Sato Series Arising from Modular Forms
论文作者
论文摘要
由Chan,Chan和Liu的作品激励,我们获得了一个新的通用定理,该定理以$ 1/π$生产Ramanujan-Sato系列。然后,我们使用它来构建与Takeuchi分类的非紧密算术三角形组相关的明确示例。我们的一些例子是新的,有些是重现现有示例。
Motivated by work of Chan, Chan, and Liu, we obtain a new general theorem which produces Ramanujan-Sato series for $1/π$. We then use it to construct explicit examples related to non-compact arithmetic triangle groups, as classified by Takeuchi. Some of our examples are new, and some reproduce existing examples.