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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.

Contributor(s): Berndt, Bruce C, 1939- | Ono, Ken, 1968-Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 291.Publication details: Providence, R.I. : American Mathematical Society, c2001Description: 1 online resource (viii, 277 p.)ISBN: 9780821878811 (online)Subject(s): q-series -- CongressesAdditional physical formats: q-series with applications to combinatorics, number theory, and physics :DDC classification: 515/.243 LOC classification: QA295 | .Q29 2001Online resources: Contents | Contents

Contents:

Congruences and conjectures for the partition function / Scott Ahlgren and Ken Ono -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04889 MacMahon's partition analysis. VII. Constrained compositions / George E. Andrews, Peter Paule and Axel Riese -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04890 Crystal bases and $q$-identities / Masato Okado, Anne Schilling and Mark Shimozono -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04891 The Bailey-Rogers-Ramanujan group / D. Stanton -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04892 Multiple polylogarithms: a brief survey / Douglas Bowman and David M. Bradley -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04893 Swinnerton-Dyer type congruences for certain Eisenstein series / Matthew Boylan -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04894 More generating functions for $L$-function values / Gwynneth G. H. Coogan -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04895 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 -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04896 Some remarks on multiple Sears transformations / Yasushi Kajihara -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04897 Another way to count colored Frobenius partitions / Louis W. Kolitsch -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04898 Proof of a summation formula for an $\tilde {A}_n$ basic hypergeometric series conjectured by Warnaar / C. Krattenthaler -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04899 On the representation of integers as sums of squares / Zhi-Guo Liu -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04900 $3$-regular partitions and a modular $K3$ surface / Jeremy Lovejoy and David Penniston -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04901 A new look at Hecke's indefinite theta series / A. Polishchuk -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04902 A proof of a multivariable elliptic summation formula conjectured by Warnaar / Hjalmar Rosengren -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04903 Multilateral transformations of $q$-series with quotients of parameters that are nonnegative integral powers of $q$ / Michael Schlosser -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04904 Completeness of basic trigonometric system in $\scr L^p$ / Sergei K. Suslov -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04905 The generalized Borwein conjecture. I. The Burge transform / S. Ole Warnaar -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04906 Mock $\theta $-functions and real analytic modular forms / S. P. Zwegers -- http://www.ams.org/conm/291/ http://dx.doi.org/10.1090/conm/291/04907

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
IMSc Library	IMSc Library			Link to resource	Available		EBK11573

Includes bibliographical references.

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 --