Functional relations for elliptic polylogarithms

DOI10.1088/1751-8121/ab81d7OpenAlexW3092915687MaRDI QIDQ5059812

André Kaderli, Johannes Broedel

Publication date: 17 January 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.11857

zbMATH Keywords

functional relationsiterated integralsBloch groupelliptic polylogarithms

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (13)

Towards closed strings as single-valued open strings at genus one ⋮ All-order differential equations for one-loop closed-string integrals and modular graph forms ⋮ Parity result for \(q\)- and elliptic analogues of multiple polylogarithms ⋮ Numerical evaluation of iterated integrals related to elliptic Feynman integrals ⋮ Symbology for elliptic multiple polylogarithms and the symbol prime ⋮ Modular transformations of elliptic Feynman integrals ⋮ Massive kite diagrams with elliptics ⋮ Sunrise integrals with two internal masses and pseudo-threshold kinematics in terms of elliptic polylogarithms ⋮ Elliptic modular graph forms. I: Identities and generating series ⋮ Non-planar elliptic vertex ⋮ A Feynman integral depending on two elliptic curves ⋮ Basis decompositions and a Mathematica package for modular graph forms ⋮ The SAGEX review on scattering amplitudes Chapter 3: Mathematical structures in Feynman integrals

Uses Software

• DLMF

Cites Work

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