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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2012.
|
| Edición: | 1st ed. 2012. |
| Colección: | Developments in Mathematics,
23 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- -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). .