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

Babei, Angelica, Beneish, Lea, Roy, Manami, Swisher, Holly, Tobin, Bella, Tu, Fang-Ting

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.

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