Lambert级数的复活展开与迭代Eisenstein积分

IF 1.2 3区数学 Q1 MATHEMATICS

Communications in Number Theory and Physics Pub Date : 2020-01-29 DOI:10.4310/cntp.2021.v15.n1.a1

Daniele Dorigoni, A. Kleinschmidt

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引用次数: 19

摘要

我们将特殊的Lambert级数视为除数和的生成函数，并确定它们在单位有理根附近的完全转级数展开。我们的方法还对迭代艾森斯坦积分的洛朗展开式和模块性性质产生了新的见解，这些积分最近在某些周期积分和弦论散射振幅的背景下引起了关注。

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Resurgent expansion of Lambert series and iterated Eisenstein integrals

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.

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来源期刊

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.