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Periods in Quantum Field Theory and Arithmetic

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Cover of 'Periods in Quantum Field Theory and Arithmetic'

Table of Contents

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    Book Overview
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    Chapter 1 Perturbative Quantum Field Theory Meets Number Theory
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    Chapter 2 Some Open Problems on Feynman Periods
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    Chapter 3 Periods and Superstring Amplitudes
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    Chapter 4 The Number Theory of Superstring Amplitudes
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    Chapter 5 Overview on Elliptic Multiple Zeta Values
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    Chapter 6 The Elliptic Sunrise
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    Chapter 7 Polylogarithm Identities, Cluster Algebras and the $$\mathcal {N} = 4$$   Supersymmetric Theory
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    Chapter 8 Multiple Eisenstein Series and  q -Analogues of Multiple Zeta Values
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    Chapter 9 A Dimension Conjecture for q -Analogues of Multiple Zeta Values
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    Chapter 10 Uniform Approach to Double Shuffle and Duality Relations of Various q -Analogs of Multiple Zeta Values via Rota–Baxter Algebras
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    Chapter 11 q -Analogues of Multiple Zeta Values and Their Application in Renormalization
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    Chapter 12 Vertex Algebras and Renormalization
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    Chapter 13 Renormalization and Periods in Perturbative Algebraic Quantum Field Theory
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    Chapter 14 Symmetril Moulds, Generic Group Schemes, Resummation of MZVs
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    Chapter 15 Mould Theory and the Double Shuffle Lie Algebra Structure
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    Chapter 16 On Some Tree-Indexed Series with One and Two Parameters
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    Chapter 17 Evaluating Generating Functions for Periodic Multiple Polylogarithms via Rational Chen–Fliess Series
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    Chapter 18 Arborified Multiple Zeta Values
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    Chapter 19 Lie Theory for Quasi-Shuffle Bialgebras
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    Chapter 20 Galois Action on Knots II: Proalgebraic String Links and Knots
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    Chapter 21 On Distribution Formulas for Complex and l -adic Polylogarithms
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    Chapter 22 On a Family of Polynomials Related to $$\zeta (2,1)=\zeta (3)$$
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Title
Periods in Quantum Field Theory and Arithmetic
Published by
Springer International Publishing, April 2020
DOI 10.1007/978-3-030-37031-2
ISBNs
978-3-03-037030-5, 978-3-03-037031-2
Editors

Burgos Gil, José Ignacio, Ebrahimi-Fard, Kurusch, Gangl, Herbert

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