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- W4366346034 abstract "In this note we study $SL(2,mathbb{Z})$-invariant functions such as modular graph functions or coefficient functions of higher derivative corrections in type IIB string theory. The functions solve inhomogeneous Laplace equations and we choose to represent them as Poincar'e series. In this way we can combine different methods for asymptotic expansions and obtain the perturbative and non-perturbative contributions to their zero Fourier modes. In the case of the higher derivative corrections, these terms have an interpretation in terms of perturbative string loop effects and pairs of instantons/anti-instantons." @default.
- W4366346034 created "2023-04-21" @default.
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- W4366346034 date "2019-03-21" @default.
- W4366346034 modified "2023-09-24" @default.
- W4366346034 title "Modular graph functions and asymptotic expansions of Poincar'e series" @default.
- W4366346034 doi "https://doi.org/10.48550/arxiv.1903.09250" @default.
- W4366346034 hasPublicationYear "2019" @default.
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