Dr Daniele Dorigoni daniele.dorigoni@durham.ac.uk
Associate Professor
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.
Dorigoni, D., & Kleinschmidt, A. (2021). Resurgent expansion of Lambert series and iterated Eisenstein integrals. Communications in Number Theory and Physics, 15(1), 1-57. https://doi.org/10.4310/cntp.2021.v15.n1.a1
Journal Article Type | Article |
---|---|
Acceptance Date | Jun 5, 2020 |
Online Publication Date | Jan 4, 2021 |
Publication Date | 2021 |
Deposit Date | Jun 29, 2021 |
Publicly Available Date | Oct 13, 2021 |
Journal | Communications in Number Theory and Physics |
Print ISSN | 1931-4523 |
Electronic ISSN | 1931-4531 |
Publisher | International Press |
Peer Reviewed | Peer Reviewed |
Volume | 15 |
Issue | 1 |
Pages | 1-57 |
DOI | https://doi.org/10.4310/cntp.2021.v15.n1.a1 |
Public URL | https://durham-repository.worktribe.com/output/1240674 |
Related Public URLs | https://arxiv.org/abs/2001.11035 |
Accepted Journal Article
(606 Kb)
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Copyright Statement
Copyright © International Press. First published in Communications in number theory and physics in 15:1 (2021), published by International Press
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