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Partitions, q-series, and modular forms

Author: Krishnaswami Alladi; Frank Garvan
Publisher: New York, NY : Springer, ©2012.
Series: Developments in mathematics, v. 23.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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. A  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Partitions, q-series, and modular forms.
(DLC) 2011935455
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Krishnaswami Alladi; Frank Garvan
ISBN: 9781461400288 1461400287
OCLC Number: 760901038
Description: 1 online resource (xii, 224 pages).
Contents: Preface(K. Alladi and F. Garvan) --
1. MacMahon's dream (G.E. Andrews andP. 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).
Series Title: Developments in mathematics, v. 23.
Responsibility: Krishnaswami Alladi, Frank Garvan, editors.

Abstract:

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  Read more...

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