Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory by Carsten Schneider
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.-
Advances in the Design of Symbolic Computation Systems
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Algorithms in Invariant Theory
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An Invitation to Analytic Combinatorics
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An Introduction to Computational Origami
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The Concrete Tetrahedron
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Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra
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Numerical and Symbolic Scientific Computing
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Anti-Differentiation and the Calculation of Feynman Amplitudes
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Integration in Finite Terms: Fundamental Sources
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Approximate Commutative Algebra
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Concrete Abstractions
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Computer - Human Interaction in Symbolic Computation
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Loewy Decomposition of Linear Differential Equations
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Thinking Programs
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Correct Software in Web Applications and Web Services
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Mechanical Theorem Proving in Geometries
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Computer-Supported Calculus
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Polynomial Algorithms in Computer Algebra
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The Symbolic Computation of Integrability Structures for Partial Differential Equations
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Computer Algebra in Quantum Field Theory
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Quantifier Elimination and Cylindrical Algebraic Decomposition
“The book is explicitly concerned with ‘the mathematics of modular forms [as it is] of central importance for the analytic solution of Feynman diagrams,’ but modular formers should be equally interested in the material offered in this compendium” (Michael Berg, MAA Reviews, May 19, 2019)
| SKU | Unavailable |
| ISBN 13 | 9783030044794 |
| ISBN 10 | 3030044793 |
| Title | Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory |
| Author | Carsten Schneider |
| Series | Texts And Monographs In Symbolic Computation Ser |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer Nature Switzerland AG |
| Year published | 2019-02-15 |
| Number of pages | 509 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |