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Tables of Contents for Q-Series With Applications to Combinatorics, Number Theory, and Physics
Chapter/Section Title
Page #
Page Count
Preface
vii
Program for q-series piano recital
ix
Congruences and conjectures for the partition function
1
10
MacMahon's partition analysis VII: Constrained compositions
11
18
Crystal bases and q-identities
29
26
The Bailey-Rogers-Ramanujan group
55
16
Multiple polylogarithms: A brief survey
71
22
Swinnerton-Dyer type congruences for certain Eisenstein series
93
16
More generating functions for L-function values
109
6
On sums of an even number of squares, and an even number of triangular numbers: an elementary approach based on Ramanujan's 1ψ1 summation formula
115
24
Some remarks on multiple Sears transformations
139
8
Another way to count colored Frobenius partitions
147
6
Proof of a summation formula for an An basic hypergeometric series conjectured by Warnaar
153
10
On the representation of integers as sums of squares
163
14
3-regular partitions and a modular K3 surface
177
6
A new look at Hecke's indefinite theta series
183
10
A proof of a multivariable elliptic summation formula conjectured by Warnaar
193
10
Multilateral transformations of q-series with quotients of parameters that are nonnegative integral powers of q
203
26
Completeness of basic trigonometric system in Lp
229
14
The generalized Borwein conjecture. I. The Burge transform
243
26
Mock θ-functions and real analytic modular forms
269