Differential equations in automorphic forms

DOI10.4310/CNTP.2018.v12.n4.a4zbMath1406.11033arXiv1801.00838WikidataQ128575589 ScholiaQ128575589MaRDI QIDQ1722004

Kim Klinger-Logan

Publication date: 14 February 2019

Published in: Communications in Number Theory and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.00838

zbMATH Keywords

Arthur truncationautomorphic Sobolev spacesexceptional group \(E_8\)

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Modular and automorphic functions (11F03) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

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Harnessing S-duality in \(\mathcal{N} = 4\) SYM \& supergravity as \(\mathrm{SL}(2, \mathbb{Z})\)-averaged strings ⋮ Two string theory flavours of generalised Eisenstein series ⋮ To the cusp and back: resurgent analysis for modular graph functions ⋮ Global automorphic Sobolev theory and the automorphic heat kernel ⋮ Poincaré series for modular graph forms at depth two. I: Seeds and Laplace systems ⋮ Poincaré series for modular graph forms at depth two. II: Iterated integrals of cusp forms ⋮ The SAGEX review on scattering amplitudes Chapter 10: Selected topics on modular covariance of type IIB string amplitudes and their N=4 supersymmetric Yang–Mills duals

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