q-series with applications to combinatorics, number theory, and physics : a conference on q-series with applications to combinatorics, number theory, and physics, October 26-28, 2000, University of Illinois / [electronic resource]
Bruce C. Berndt, Ken Ono, editors.
- Providence, R.I. : American Mathematical Society, c2001.
- 1 online resource (viii, 277 p.)
- Contemporary mathematics, v. 291 0271-4132 (print); 1098-3627 (online); .
- Contemporary mathematics (American Mathematical Society) ; v. 291. .
Includes bibliographical references.
Congruences and conjectures for the partition function / MacMahon's partition analysis. VII. Constrained compositions / Crystal bases and $q$-identities / The Bailey-Rogers-Ramanujan group / Multiple polylogarithms: a brief survey / Swinnerton-Dyer type congruences for certain Eisenstein series / More generating functions for $L$-function values / 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 / Some remarks on multiple Sears transformations / Another way to count colored Frobenius partitions / Proof of a summation formula for an $\tilde _n$ basic hypergeometric series conjectured by Warnaar / On the representation of integers as sums of squares / $3$-regular partitions and a modular $K3$ surface / A new look at Hecke's indefinite theta series / A proof of a multivariable elliptic summation formula conjectured by Warnaar / Multilateral transformations of $q$-series with quotients of parameters that are nonnegative integral powers of $q$ / Completeness of basic trigonometric system in $\scr L^p$ / The generalized Borwein conjecture. I. The Burge transform / Mock $\theta $-functions and real analytic modular forms / Scott Ahlgren and Ken Ono -- George E. Andrews, Peter Paule and Axel Riese -- Masato Okado, Anne Schilling and Mark Shimozono -- D. Stanton -- Douglas Bowman and David M. Bradley -- Matthew Boylan -- Gwynneth G. H. Coogan -- Shaun Cooper -- Yasushi Kajihara -- Louis W. Kolitsch -- C. Krattenthaler -- Zhi-Guo Liu -- Jeremy Lovejoy and David Penniston -- A. Polishchuk -- Hjalmar Rosengren -- Michael Schlosser -- Sergei K. Suslov -- S. Ole Warnaar -- S. P. Zwegers -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04889 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04890 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04891 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04892 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04893 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04894 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04895 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04896 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04897 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04898 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04899 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04900 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04901 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04902 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04903 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04904 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04905 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04906 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04907
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821878811 (online)
q-series--Congresses.
QA295 / .Q29 2001
515/.243
Includes bibliographical references.
Congruences and conjectures for the partition function / MacMahon's partition analysis. VII. Constrained compositions / Crystal bases and $q$-identities / The Bailey-Rogers-Ramanujan group / Multiple polylogarithms: a brief survey / Swinnerton-Dyer type congruences for certain Eisenstein series / More generating functions for $L$-function values / 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 / Some remarks on multiple Sears transformations / Another way to count colored Frobenius partitions / Proof of a summation formula for an $\tilde _n$ basic hypergeometric series conjectured by Warnaar / On the representation of integers as sums of squares / $3$-regular partitions and a modular $K3$ surface / A new look at Hecke's indefinite theta series / A proof of a multivariable elliptic summation formula conjectured by Warnaar / Multilateral transformations of $q$-series with quotients of parameters that are nonnegative integral powers of $q$ / Completeness of basic trigonometric system in $\scr L^p$ / The generalized Borwein conjecture. I. The Burge transform / Mock $\theta $-functions and real analytic modular forms / Scott Ahlgren and Ken Ono -- George E. Andrews, Peter Paule and Axel Riese -- Masato Okado, Anne Schilling and Mark Shimozono -- D. Stanton -- Douglas Bowman and David M. Bradley -- Matthew Boylan -- Gwynneth G. H. Coogan -- Shaun Cooper -- Yasushi Kajihara -- Louis W. Kolitsch -- C. Krattenthaler -- Zhi-Guo Liu -- Jeremy Lovejoy and David Penniston -- A. Polishchuk -- Hjalmar Rosengren -- Michael Schlosser -- Sergei K. Suslov -- S. Ole Warnaar -- S. P. Zwegers -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04889 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04890 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04891 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04892 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04893 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04894 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04895 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04896 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04897 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04898 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04899 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04900 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04901 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04902 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04903 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04904 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04905 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04906 http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04907
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821878811 (online)
q-series--Congresses.
QA295 / .Q29 2001
515/.243