Multiple Zeta Values and Modular Forms in Quantum Field Theory

DOI10.1007/978-3-7091-1616-6_2zbMath1308.81129OpenAlexW2121053851MaRDI QIDQ5244916

David J. Broadhurst

Publication date: 1 April 2015

Published in: Texts & Monographs in Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7091-1616-6_2

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Discontinuous groups and automorphic forms (11Fxx)

Related Items (18)

Hyperlogarithms and Periods in Feynman Amplitudes ⋮ Duality and (\(q\)-)multiple zeta values ⋮ The structure of generic anomalous dimensions and no-\(\pi\) theorem for massless propagators ⋮ Bernoulli identities, zeta relations, determinant expressions, Mellin transforms, and representation of the Hurwitz numbers ⋮ The ice cone family and iterated integrals for Calabi-Yau varieties ⋮ Dirichlet type extensions of Euler sums ⋮ Explicit formulas of Euler sums via multiple zeta values ⋮ q-Analogues of Multiple Zeta Values and Their Application in Renormalization ⋮ Evaluations of nonlinear Euler sums of weight ten ⋮ Quantum field theory on noncommutative spaces ⋮ An introduction to motivic Feynman integrals ⋮ A Feynman integral via higher normal functions ⋮ On Laporta's 4-loop sunrise formulae ⋮ Analytic structure of all loop banana integrals ⋮ Evaluations of Euler-type sums of weight \(\le 5\) ⋮ ON BORWEIN’S CONJECTURES FOR PLANAR UNIFORM RANDOM WALKS ⋮ Moments in Pearson's four-step uniform random walk problem and other applications of very well-poised generalized hypergeometric series ⋮ Some evaluations of infinite series involving parametric harmonic numbers

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