ISBN-10:
0821827464
ISBN-13:
9780821827468
Pub. Date:
11/30/2001
Publisher:
American Mathematical Society
Q-Series with Applications to Combinatorics, Number Theory, and Physics

Q-Series with Applications to Combinatorics, Number Theory, and Physics

by Bruce C. Berndt, Ken Ono

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Product Details

ISBN-13: 9780821827468
Publisher: American Mathematical Society
Publication date: 11/30/2001
Series: Contemporary Mathematics Series , #291
Pages: 277
Product dimensions: 6.30(w) x 9.06(h) x (d)

Table of Contents

Prefacevii
Program for q-series piano recitalix
Congruences and conjectures for the partition function1
MacMahon's partition analysis VII: Constrained compositions11
Crystal bases and q-identities29
The Bailey-Rogers-Ramanujan group55
Multiple polylogarithms: A brief survey71
Swinnerton-Dyer type congruences for certain Eisenstein series93
More generating functions for L-function values109
On sums of an even number of squares, and an even number of triangular numbers: an elementary approach based on Ramanujan's 1[psi]1 summation formula115
Some remarks on multiple Sears transformations139
Another way to count colored Frobenius partitions147
Proof of a summation formula for an A[subscript n] basic hypergeometric series conjectured by Warnaar153
On the representation of integers as sums of squares163
3-regular partitions and a modular K3 surface177
A new look at Hecke's indefinite theta series183
A proof of a multivariable elliptic summation formula conjectured by Warnaar193
Multilateral transformations of q-series with quotients of parameters that are nonnegative integral powers of q203
Completeness of basic trigonometric system in L[superscript P]229
The generalized Borwein conjecture. I. The Burge transform243
Mock v-functions and real analytic modular forms269

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