03645nam 22005775 450 991033758210332120200704134900.03-030-04480-710.1007/978-3-030-04480-0(CKB)4100000007598331(MiAaPQ)EBC5660334(DE-He213)978-3-030-04480-0(PPN)23380031X(EXLCZ)99410000000759833120190130d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierElliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory /edited by Johannes Blümlein, Carsten Schneider, Peter Paule1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (511 pages)Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,0943-853X3-030-04479-3 Graph complexes and Cutkosky rules -- Differential equations and dispersion relations for Feynman amplitudes with elliptic functions -- Elliptic integrals and the two-loop ttbar production in QCD -- Solutions of 2nd and 3rd order differential equations with more singularities -- Analytic continuation of Feynman diagrams with elliptic solutions -- Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes -- Genus one superstring amplitudes and modular forms -- Difference field methods in Feynman diagram calculations -- Feynman integrals and iterated integrals of modular forms -- Iterated elliptic and hypergeometric integrals for Feynman diagrams. - Feynman integrals, L-series and Kloosterman moments.This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the discussion between theoretical physicists working on higher loop calculations and mathematicians working in the field of modular forms and functions and analytic solutions of higher order differential and difference equations. .Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,0943-853XComputer science—MathematicsQuantum field theoryString theoryMathematical physicsSymbolic and Algebraic Manipulationhttps://scigraph.springernature.com/ontologies/product-market-codes/I17052Quantum Field Theories, String Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P19048Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Computer science—Mathematics.Quantum field theory.String theory.Mathematical physics.Symbolic and Algebraic Manipulation.Quantum Field Theories, String Theory.Mathematical Physics.515.983Blümlein Johannesedthttp://id.loc.gov/vocabulary/relators/edtSchneider Carstenedthttp://id.loc.gov/vocabulary/relators/edtPaule Peteredthttp://id.loc.gov/vocabulary/relators/edtBOOK9910337582103321Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory2533042UNINA