Where do the tedious products of \(\zeta\)'s come from?

DOI10.1016/S0920-5632(03)80214-1zbMath1030.81015arXivhep-ph/0211194OpenAlexW1995712621MaRDI QIDQ1566300

David J. Broadhurst

Publication date: 1 June 2003

Published in: Nuclear Physics. B. Proceedings Supplements (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/0211194

zbMATH Keywords

combinatoricsepsilon expansionDrinfeld-Deligne conjectureKreimer's modified shuffle productmaster two-loop two-point function

Mathematics Subject Classification ID

Nuclear physics (81V35) Feynman diagrams (81T18) Enumerative combinatorics (05A99) Convergence and divergence of infinite limiting processes (40A99)

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Cites Work

• Insertion and elimination: The doubly infinite Lie algebra of Feynman graphs
• Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
• Parallel integer relation detection: Techniques and applications
• Special values of multiple polylogarithms
• Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality