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...
Tallennettuna:
| Yhteisötekijä: | |
|---|---|
| Muut tekijät: | , |
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Painos: | 1st ed. 2012. |
| Sarja: | Developments in Mathematics
23 |
| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Issu de l'"International conference on partitions, q-series and modular forms", Université de Floride, mars 2008 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Partitions, q-series, and modular forms, Krishnaswami Alladi, Frank Garvan, editors, 2012, New York, NY, Springer, 1 vol. (XII-224 p.), Developments in Mathematics, 978-1-4614-0027-1 |
Sisällysluettelo:
- -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). .
- -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)