# $q$-Series with Applications to Combinatorics, Number Theory, and Physics

### About this Title

**Bruce C. Berndt** and **Ken Ono**, Editors

Publication: Contemporary Mathematics

Publication Year
2001: Volume 291

ISBNs: 978-0-8218-2746-8 (print); 978-0-8218-7881-1 (online)

DOI: http://dx.doi.org/10.1090/conm/291

MathSciNet review: 1874517

### Table of Contents

**Front/Back Matter**

**Articles**

- Scott Ahlgren and Ken Ono – Congruences and conjectures for the partition function [MR 1874518]
- George E. Andrews, Peter Paule and Axel Riese – MacMahonâ€™s partition analysis. VII. Constrained compositions [MR 1874519]
- Masato Okado, Anne Schilling and Mark Shimozono – Crystal bases and $q$-identities [MR 1874520]
- D. Stanton – The Bailey-Rogers-Ramanujan group [MR 1874521]
- Douglas Bowman and David M. Bradley – Multiple polylogarithms: a brief survey [MR 1874522]
- Matthew Boylan – Swinnerton-Dyer type congruences for certain Eisenstein series [MR 1874523]
- Gwynneth G. H. Coogan – More generating functions for $L$-function values [MR 1874524]
- Shaun Cooper – On sums of an even number of squares, and an even number of triangular numbers: an elementary approach based on Ramanujanâ€™s ${}_1\psi _1$ summation formula [MR 1874525]
- Yasushi Kajihara – Some remarks on multiple Sears transformations [MR 1874526]
- Louis W. Kolitsch – Another way to count colored Frobenius partitions [MR 1874527]
- C. Krattenthaler – Proof of a summation formula for an $\tilde {A}_n$ basic hypergeometric series conjectured by Warnaar [MR 1874528]
- Zhi-Guo Liu – On the representation of integers as sums of squares [MR 1874529]
- Jeremy Lovejoy and David Penniston – $3$-regular partitions and a modular $K3$ surface [MR 1874530]
- A. Polishchuk – A new look at Heckeâ€™s indefinite theta series [MR 1874531]
- Hjalmar Rosengren – A proof of a multivariable elliptic summation formula conjectured by Warnaar [MR 1874532]
- Michael Schlosser – Multilateral transformations of $q$-series with quotients of parameters that are nonnegative integral powers of $q$ [MR 1874533]
- Sergei K. Suslov – Completeness of basic trigonometric system in $\scr L^p$ [MR 1874534]
- S. Ole Warnaar – The generalized Borwein conjecture. I. The Burge transform [MR 1874535]
- S. P. Zwegers – Mock $\theta $-functions and real analytic modular forms [MR 1874536]