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Texts & Monographs in Symbolic Computation

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

Editors: Blümlein, Johannes, Schneider, Carsten, Paule, Peter (Eds.)

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  • Presents up-to-date reviews on modular forms and functions and their use in particle physics
  • Combines knowledge from mathematical physics and mathematics
  • Written by international authors 
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eBook $149.00
price for USA in USD
  • ISBN 978-3-030-04480-0
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Hardcover $199.99
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About this book

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. 

Reviews

“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)

Table of contents (19 chapters)

Table of contents (19 chapters)
  • Eta Quotients and Rademacher Sums

    Pages 1-27

    Acres, Kevin (et al.)

  • On a Class of Feynman Integrals Evaluating to Iterated Integrals of Modular Forms

    Pages 29-49

    Adams, Luise (et al.)

  • Iterative Non-iterative Integrals in Quantum Field Theory

    Pages 51-77

    Blümlein, Johannes

  • Analytic Continuation of the Kite Family

    Pages 79-91

    Bogner, Christian (et al.)

  • A Four-Point Function for the Planar QCD Massive Corrections to Top-Antitop Production in the Gluon-Fusion Channel

    Pages 93-106

    Bonciani, Roberto (et al.)

Buy this book

eBook $149.00
price for USA in USD
  • ISBN 978-3-030-04480-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory
Editors
  • Johannes Blümlein
  • Carsten Schneider
  • Peter Paule
Series Title
Texts & Monographs in Symbolic Computation
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-04480-0
DOI
10.1007/978-3-030-04480-0
Hardcover ISBN
978-3-030-04479-4
Series ISSN
0943-853X
Edition Number
1
Number of Pages
XIII, 509
Number of Illustrations
80 b/w illustrations, 54 illustrations in colour
Topics