Actions for q-series with applications to combinatorics, number theory, and physics [electronic resource] : a conference on q-series with applications to combinatorics, number theory, and physics, October 26-28, 2000, University of Illinois

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q-series with applications to combinatorics, number theory, and physics [electronic resource] : a conference on q-series with applications to combinatorics, number theory, and physics, October 26-28, 2000, University of Illinois / Bruce C. Berndt, Ken Ono, editors

Published
Providence, R.I. : American Mathematical Society, [2001]
Copyright Date
©2001
Physical Description
viii, 277 pages ; 26 cm.
Additional Creators
Berndt, Bruce C., 1939- and Ono, Ken, 1968-
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Contents
Congruences and conjectures for the partition function / Scott Ahlgren and Ken Ono -- MacMahon's partition analysis. VII. Constrained compositions / George E. Andrews, Peter Paule and Axel Riese -- Crystal bases and $q$-identities / Masato Okado, Anne Schilling and Mark Shimozono -- The Bailey-Rogers-Ramanujan group / D. Stanton -- Multiple polylogarithms: a brief survey / Douglas Bowman and David M. Bradley -- Swinnerton-Dyer type congruences for certain Eisenstein series / Matthew Boylan -- More generating functions for $L$-function values / Gwynneth G. H. Coogan -- 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 formula / Shaun Cooper -- Some remarks on multiple Sears transformations / Yasushi Kajihara -- Another way to count colored Frobenius partitions / Louis W. Kolitsch -- Proof of a summation formula for an $\tilde {A}_n$ basic hypergeometric series conjectured by Warnaar / C. Krattenthaler -- On the representation of integers as sums of squares / Zhi-Guo Liu -- $3$-regular partitions and a modular $K3$ surface / Jeremy Lovejoy and David Penniston -- A new look at Hecke's indefinite theta series / A. Polishchuk -- A proof of a multivariable elliptic summation formula conjectured by Warnaar / Hjalmar Rosengren -- Multilateral transformations of $q$-series with quotients of parameters that are nonnegative integral powers of $q$ / Michael Schlosser -- Completeness of basic trigonometric system in $\scr L^p$ / Sergei K. Suslov -- The generalized Borwein conjecture. I. The Burge transform / S. Ole Warnaar -- Mock $\theta $-functions and real analytic modular forms / S. P. Zwegers --
Subject(s)
ISBN
0821827464 (alk. paper)
9780821827468 (print)
9780821856277 (google)
9780821878811 (electronic)
Note
AVAILABLE ONLINE TO AUTHORIZED PSU USERS.
Bibliography Note
Includes bibliographical references.
Technical Details
Mode of access : World Wide Web.
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