Moscow Lectures

Partition Functions and Automorphic Forms

Editors: Gritsenko, Valery, Spiridonov, Vyacheslav P. (Eds.)

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  • ISBN 978-3-030-42400-8
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Hardcover 83,19 €
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  • ISBN 978-3-030-42399-5
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Softcover 62,39 €
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About this Textbook

This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic Painleve equation, and aspects of Painleve equations in quantum field theories. All the topics covered are related to various partition functions emerging in different supersymmetric and ordinary quantum field theories in curved space-times of different (d=2,3,…,6) dimensions. Presenting multidisciplinary methods (localization, Borcherds products, theory of special functions, Cremona maps, etc) for treating a range of partition functions, the book is intended for graduate students and young postdocs interested in the interaction between quantum field theory and mathematics related to automorphic forms, representation theory, number theory and geometry, and mirror symmetry.



Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 50,28 €
price for Spain (gross)
  • ISBN 978-3-030-42400-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-030-42399-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 62,39 €
price for Spain (gross)
  • ISBN 978-3-030-42402-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Partition Functions and Automorphic Forms
Editors
  • Valery Gritsenko
  • Vyacheslav P. Spiridonov
Series Title
Moscow Lectures
Series Volume
5
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-42400-8
DOI
10.1007/978-3-030-42400-8
Hardcover ISBN
978-3-030-42399-5
Softcover ISBN
978-3-030-42402-2
Series ISSN
2522-0314
Edition Number
1
Number of Pages
XIII, 415
Number of Illustrations
20 b/w illustrations, 11 illustrations in colour
Topics