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

### About this Volume

Edited by: Bruce C. Berndt and Ken Ono

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

### Table of Contents

**Front/Back Matter**

**Articles**

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