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Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory

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Cover of 'Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Eta Quotients Eta quotients and Rademacher Sums Rademacher sums
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    Chapter 2 On a Class of Feynman Integrals Evaluating to Iterated Integrals of Modular Forms
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    Chapter 3 Iterative Non-iterative Integrals in Quantum Field Theory
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    Chapter 4 Analytic Continuation of the Kite Family
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    Chapter 5 A Four-Point Function for the Planar QCD Massive Corrections to Top-Antitop Production in the Gluon-Fusion Channel
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    Chapter 6 From Modular Forms to Differential Equations for Feynman Integrals
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    Chapter 7 One-Loop String String Scattering Scattering Amplitudes Amplitudes as Iterated Eisenstein Eisenstein Integrals
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    Chapter 8 Expansions at Cusps and Petersson Products in Pari/GP
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    Chapter 9 CM Evaluations of the Goswami-Sun Series
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    Chapter 10 Automatic Proof of Theta-Function Identities
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    Chapter 11 The Generators of all Polynomial Relations Among Jacobi Theta Functions
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    Chapter 12 Numerical Evaluation of Elliptic Functions, Elliptic Integrals and Modular Forms
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    Chapter 13 Multi-valued Feynman Graphs and Scattering Theory
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    Chapter 14 Interpolated Sequences and Critical L -Values of Modular Forms
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    Chapter 15 Towards a Symbolic Summation Theory for Unspecified Sequences
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    Chapter 16 Differential Equations Differential Equations and Dispersion Relations Dispersion Relations for Feynman Amplitudes
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    Chapter 17 Feynman Integrals, Toric Geometry and Mirror Symmetry
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    Chapter 18 Modular and Holomorphic Graph Functions from Superstring Amplitudes
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    Chapter 19 Some Algebraic and Arithmetic Properties of Feynman Diagrams
Attention for Chapter 10: Automatic Proof of Theta-Function Identities
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Chapter title
Automatic Proof of Theta-Function Identities
Chapter number 10
Book title
Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory
Published by
Springer, Cham, January 2019
DOI 10.1007/978-3-030-04480-0_10
Book ISBNs
978-3-03-004479-4, 978-3-03-004480-0
Authors

Jie Frye, Frank Garvan, Frye, Jie, Garvan, Frank

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