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Alladi, Krishnaswami

Partitions, q-Series, and Modular Forms

Alladi, Krishnaswami - Partitions, q-Series, and Modular Forms, ebook

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ISBN: 9781461400288
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Table of contents

1. MacMahon’s Dream
George E. Andrews, Peter Paule

2. Ramanujan’s Elementary Method in Partition Congruences
Bruce C. Berndt, Chadwick Gugg, Sun Kim

3. Coefficients of Harmonic Maass Forms
Kathrin Bringmann, Ken Ono

4. On the Growth of Restricted Integer Partition Functions
E. Rodney Canfield, Herbert S. Wilf

5. On Applications of Roots of Unity to Product Identities
Zhu Cao

6. Lecture Hall Sequences, q-Series, and Asymmetric Partition Identities
Sylvie Corteel, Carla D. Savage, Andrew V. Sills

7. Generalizations of Hutchinson’s Curve and the Thomae Formulae
Hershel M. Farkas

8. On the Parity of the Rogers-Ramanujan Coefficients
Basil Gordon

9. A Survey of Classical Mock Theta Functions
Basil Gordon, Richard J. McIntosh

10. An Application of Cauchy–Sylvester’s Theorem on Compound Determinants to a BC

n
-Type Jackson Integral
Masahiko Ito, Soichi Okada

11. Multiple Generalizations of q-Series Identities and Related Formulas
Yasushi Kajihara

12. Nonterminating q-Whipple Transformations for Basic Hypergeometric Series in U(n)
Stephen C. Milne, John W. Newcomb

Keywords: Mathematics, Number Theory, Combinatorics, Special Functions

Author(s)
 
Publisher
Springer
Publication year
2012
Language
en
Edition
1
Series
Developments in Mathematics
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9781461400288

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