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El. knyga: Partitions, q-Series, and Modular Forms

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  • Formatas: PDF+DRM
  • Serija: Developments in Mathematics 23
  • Išleidimo metai: 01-Nov-2011
  • Leidėjas: Springer-Verlag New York Inc.
  • Kalba: eng
  • ISBN-13: 9781461400288
Kitos knygos pagal šią temą:
Partitions, q-Series, and Modular FormsDidesnis paveikslėlis
  • Formatas: PDF+DRM
  • Serija: Developments in Mathematics 23
  • Išleidimo metai: 01-Nov-2011
  • Leidėjas: Springer-Verlag New York Inc.
  • Kalba: eng
  • ISBN-13: 9781461400288
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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.

This unique volume describes recent progress in the fields of q-hypergeometric series, partitions, and modular forms and their relation to number theory, combinatorics, and special functions. It grew out of a conference at the University of Florida.
MacMahon's Dream
1(12)
George E. Andrews
Peter Paule
Ramanujan's Elementary Method in Partition Congruences
13(10)
Bruce C. Berndt
Chadwick Gugg
Sun Kim
Coefficients of Harmonic Maass Forms
23(16)
Kathrin Bringmann
Ken Ono
On the Growth of Restricted Integer Partition Functions
39(8)
E. Rodney Canfield
Herbert S. Wilf
On Applications of Roots of Unity to Product Identities
47(6)
Zhu Cao
Lecture Hall Sequences, q-Series, and Asymmetric Partition Identities
53(16)
Sylvie Corteel
Carla D. Savage
Andrew V. Sills
Generalizations of Hutchinson's Curve and the Thomae Formulae
69(14)
Hershel M. Farkas
On the Parity of the Rogers-Ramanujan Coefficients
83(12)
Basil Gordon
A Survey of Classical Mock Theta Functions
95(50)
Basil Gordon
Richard J. McIntosh
An Application of Cauchy-Sylvester's Theorem on Compound Determinants to a BCn-Type Jackson Integral
145(14)
Masahiko Ito
Soichi Okada
Multiple Generalizations of q-Series Identities and Related Formulas
159(22)
Yasushi Kajihara
Nonterminating q-Whipple Transformations for Basic Hypergeometric Series in U(n)
181
Stephen C. Milne
John W. Newcomb
This book contains a unique collection of both research and survey papers written by an international group of some of the worlds 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.
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