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

  • Johannes Blümlein
  • Carsten Schneider
  • Peter Paule

Part of the Texts & Monographs in Symbolic Computation book series (TEXTSMONOGR)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Kevin Acres, David Broadhurst
    Pages 1-27
  3. Christian Bogner, Armin Schweitzer, Stefan Weinzierl
    Pages 79-91
  4. Johannes Broedel, Claude Duhr, Falko Dulat, Brenda Penante, Lorenzo Tancredi
    Pages 107-131
  5. Johannes Broedel, Oliver Schlotterer
    Pages 133-159
  6. Madeline Locus Dawsey, Ken Ono
    Pages 183-193
  7. Jie Frye, Frank Garvan
    Pages 195-258
  8. Ralf Hemmecke, Cristian-Silviu Radu, Liangjie Ye
    Pages 259-268
  9. Robert Osburn, Armin Straub
    Pages 327-349
  10. Peter Paule, Carsten Schneider
    Pages 351-390

About this book

Introduction

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. 

Keywords

elliptic integrals and functions iterated modular functions iterated integrals massive high loop Feynman integral differential equations

Editors and affiliations

  • Johannes Blümlein
    • 1
  • Carsten Schneider
    • 2
  • Peter Paule
    • 3
  1. 1.Deutsches Elektronen-Synchrotron, DESYZeuthenGermany
  2. 2.Research Institute for Symbolic Computation (RISC)Johannes Kepler University LinzLinzAustria
  3. 3.Research Institute for Symbolic Computation (RISC)Johannes Kepler University LinzLinzAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-04480-0
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Computer Science
  • Print ISBN 978-3-030-04479-4
  • Online ISBN 978-3-030-04480-0
  • Series Print ISSN 0943-853X
  • Series Online ISSN 2197-8409
  • Buy this book on publisher's site