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):

Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 291.Publication details: Providence, R.I. : American Mathematical Society, c2001.Description: 1 online resource (viii, 277 p.)ISBN:

9780821878811 (online)

Subject(s):

q-series -- Congresses

Additional physical formats: q-series with applications to combinatorics, number theory, and physics :DDC classification:

515/.243 21

LOC classification:

QA295 .Q29 2001

Online resources:

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

Item type:

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Holdings
Home library	Call number	Materials specified	URL	Status	Date due	Barcode
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 --