On the algebraic structure of iterated integrals of quasimodular forms

DOI10.2140/ant.2017.11.2113zbMath1429.11076arXiv1708.04561OpenAlexW2748688299MaRDI QIDQ1686478

Nils Matthes

Publication date: 15 December 2017

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.04561

zbMATH Keywords

iterated integralsquasimodular forms

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11)

Related Items (15)

Towards closed strings as single-valued open strings at genus one ⋮ Combinatorial multiple Eisenstein series ⋮ One-loop open-string integrals from differential equations: all-order \(\alpha '\)-expansions at \(n\) points ⋮ Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives ⋮ Towards a theory of domains for harmonic functions and its symbolic counterpart ⋮ Modular graph forms from equivariant iterated Eisenstein integrals ⋮ Generating series of all modular graph forms from iterated Eisenstein integrals ⋮ A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS ⋮ From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop ⋮ Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes ⋮ The \(\varepsilon\)-form of the differential equations for Feynman integrals in the elliptic case ⋮ Meromorphic modular forms and the three-loop equal-mass banana integral ⋮ 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 ⋮ Iterated primitives of meromorphic quasimodular forms for 𝑆𝐿₂(ℤ)

Cites Work

• Unnamed Item
• Unnamed Item
• Eine Verallgemeinerung der Abelschen Integrale
• A natural ring basis for the shuffle algebra and an application to group schemes
• The character of the infinite wedge representation
• On the structure of Hopf algebras
• Lectures on Moduli Spaces of Elliptic Curves
• The Hodge-de~Rham Theory of Modular Groups
• Independence of Hyperlogarithms over Function Fields via Algebraic Combinatorics
• Elliptic Modular Forms and Their Applications
• Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
• Iterated integrals of modular forms and noncommutative modular symbols

This page was built for publication: On the algebraic structure of iterated integrals of quasimodular forms