Developments in Mathematics

Partitions, q-Series, and Modular Forms

Editors: Alladi, Krishnaswami, Garvan, Frank (Eds.)

  • Unique volume describing recent progress in the fields of q-hypergeometric series, partitions, and modular forms and their relation to number theory, combinatorics, and special functions

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eBook $119.00
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Hardcover $159.00
price for USA
  • ISBN 978-1-4614-0027-1
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Softcover $159.00
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  • ISBN 978-1-4939-0186-9
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About this book

Partitions, q-Series, and Modular Forms contains a collection of research and survey papers that grew out of a Conference on Partitions, q-Series and Modular Forms at the University of Florida, Gainesville in March 2008. It will be of interest to researchers and graduate students that would like to learn of recent developments in the theory of q-series and modular and how it relates to number theory, combinatorics and special functions.

About the authors

This book contains a unique collection of both research and survey papers written by an international group of some of the world’s experts on partitions, q-series, and modular forms, as outgrowths of a conference held at the University of Florida, Gainesville in March 2008. The success of this conference has led to annual year-long programs in Algebra, Number Theory, and Combinatorics (ANTC) at the university.

The broad coverage of the works in this volume will be of interest to researchers and graduate students who want to learn of recent developments in the theory of q-series and modular forms and how it relates to number theory, combinatorics, and special functions.

Table of contents (12 chapters)

  • MacMahon’s Dream

    Andrews, George E. (et al.)

    Pages 1-12

  • Ramanujan’s Elementary Method in Partition Congruences

    Berndt, Bruce C. (et al.)

    Pages 13-21

  • Coefficients of Harmonic Maass Forms

    Bringmann, Kathrin (et al.)

    Pages 23-38

  • On the Growth of Restricted Integer Partition Functions

    Canfield, E. Rodney (et al.)

    Pages 39-46

  • On Applications of Roots of Unity to Product Identities

    Cao, Zhu

    Pages 47-52

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-1-4614-0028-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-1-4614-0027-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-1-4939-0186-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Partitions, q-Series, and Modular Forms
Editors
  • Krishnaswami Alladi
  • Frank Garvan
Series Title
Developments in Mathematics
Series Volume
23
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-0028-8
DOI
10.1007/978-1-4614-0028-8
Hardcover ISBN
978-1-4614-0027-1
Softcover ISBN
978-1-4939-0186-9
Series ISSN
1389-2177
Edition Number
1
Number of Pages
XII, 224
Topics