论文标题
兰伯特系列和迭代的Eisenstein积分的复兴扩展
Resurgent expansion of Lambert series and iterated Eisenstein integrals
论文作者
论文摘要
我们将特殊的兰伯特系列视为生成除数总和的功能，并确定其完整的跨系列扩展在合理的统一根源附近。我们的方法还为迭代的艾森斯坦积分的劳伦膨胀和模块化特性提供了新的见解，这些效率最近在某些时期积分和弦理论散射幅度的背景下引起了人们的注意。
We consider special Lambert series as generating functions of divisor sums and determine their complete transseries expansion near rational roots of unity. Our methods also yield new insights into the Laurent expansions and modularity properties of iterated Eisenstein integrals that have recently attracted attention in the context of certain period integrals and string theory scattering amplitudes.
