2008/01/11 by Carsten Schneider
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Algebra over a field #Applied mathematics #Calculus (dental) #Feynman diagram #Feynman integral #Field (mathematics) #Field theory (psychology) #Mathematical and Theoretical Analysis #Mathematical physics #Mathematics #Polynomial and algebraic computation #Pure mathematics #Quantum field theory #Summation by parts #cs.SC #math-ph #math.CO #math.MP
paper · pdf · doi:10.1016/j.jsc.2008.01.001
published as J. Symbolic Comput. 43(9), pp. 611-644. 2008 · Uses elseart.cls and yjsco.sty
openalex publication_date 2008/01/11 · arxiv created 2008/08/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this article we present a refined summation theory based on Karr's difference field approach. The resulting algorithms find sum representations with optimal nested depth. For instance, the algorithms have been applied successively to evaluate Feynman integrals from Perturbative Quantum Field Theory.