Partitions, q-Series, and Modular Forms

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...

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Bibliographic Details
Call Number:Libro Electrónico
Corporate Author: SpringerLink (Online service)
Other Authors: Alladi, Krishnaswami (Editor), Garvan, Frank (Editor)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Springer, 2012.
Edition:1st ed. 2012.
Series:Developments in Mathematics, 23
Subjects:
Number theory.
Discrete mathematics.
Special functions.
Number Theory.
Discrete Mathematics.
Special Functions.
Online Access:Texto Completo
Table of Contents:
  • -Preface (K. Alladi and F. Garvan)
  • 1. MacMahon's dream (G. E. Andrews and P. Paule)
  • 2. Ramanujan's elementary method in partition congruences (B. Berndt, C. Gugg, and S. Kim)
  • 3. Coefficients of harmonic Maass forms (K. Bringmann and K. Ono)
  • 4. On the growth of restricted partition functions (E. R. Canfield and H. Wilf)
  • 5. On applications of roots of unity to product identities (Z. Cao)
  • 6. Lecture hall sequences, q-series, and asymmetric partition identities (S. Corteel, C. Savage and A. Sills)
  • 7. Generalizations of Hutchinson's curve and the Thomae formula (H. Farkas)
  • 8. On the parity of the Rogers-Ramanujan coefficients (B. Gordon)
  • 9. A survey of the classical mock theta functions (B. Gordon and R. McIntosh)
  • 10. An application of the Cauchy-Sylvester theorem on compound determinants to a BC_n Jackson integral (M. Ito and S. Okada)
  • 11. Multiple generalizations of q-series identities found in Ramanujan's Lost Notebook (Y. Kajihara)
  • 12. Non-terminating q-Whipple transformations for basic hypergeometric series in U(n) (S. C. Milne and J. W. Newcomb).            .

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