Laplace-eigenvalue equations for length three modular iterated integrals

DOI10.1016/j.jnt.2021.11.005OpenAlexW3213681332WikidataQ114156648 ScholiaQ114156648MaRDI QIDQ2671994

Joshua Drewitt

Publication date: 8 June 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09916

zbMATH Keywords

non-holomorphic modular formsreal analytic modular formsmodular graph functionsmodular iterated integralsiterated Eisenstein integrals

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (2)

To the cusp and back: resurgent analysis for modular graph functions ⋮ Modular graph forms from equivariant iterated Eisenstein integrals

Cites Work

• Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings
• Holomorphic subgraph reduction of higher-point modular graph forms
• From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop
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• Hierarchy of modular graph identities
• Identities between modular graph forms
• Modular graph functions
• Poincaré series for modular graph forms at depth two. I: Seeds and Laplace systems
• All-order differential equations for one-loop closed-string integrals and modular graph forms
• Period functions associated to real-analytic modular forms
• Generating series of all modular graph forms from iterated Eisenstein integrals
• A class of non-holomorphic modular forms. I
• A class of non-holomorphic modular forms. III: real analytic cusp forms for \(\mathrm{SL}_2(\mathbb{Z})\)
• Single-valued multiple zeta values in genus \(1\) superstring amplitudes
• On the modular structure of the genus-one type II superstring low energy expansion
• A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS

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