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Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics

  • Book
  • © 2001

Overview

Editors:
  1. Frank G. Garvan

    1. Department of Mathematics, University of Florida, Gainesville, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Mourad E. H. Ismail

    1. Department of Mathematics, University of South Florida, Tampa, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Developments in Mathematics (DEVM, volume 4)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xi
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  2. Gaussian Hypergeometric Series and Combinatorial Congruences

    • Scott Ahlgren
    Pages 1-12

  3. A Double Bounded Key Identity for Göllnitz’s (BIG) Partition Theorem

    • Krishnaswami Alladi, Alexander Berkovich
    Pages 13-32

  4. Engel Expansions of q-Series by Computer Algebra

    • George E. Andrews, Arnold Knopfmacher, Peter Paule, Burkhard Zimmermann
    Pages 33-57

  5. Sums of Squares and the Preservation of Modularity under Congruence Restrictions

    • Paul T. Bateman, Boris A. Datskovsky, Marvin I. Knopp
    Pages 59-71

  6. On the Transformation Formula for the Dedekind Eta-Function

    • Bruce C. Berndt, K. Venkatachaliengar
    Pages 73-77

  7. Experiments and Discoveries in q-Trigonometry

    • R. Wm. Gosper
    Pages 79-105

  8. Algebraic Consequences of Jacobi’s Two— and Four—Square Theorems

    • Michael D. Hirschhorn, James A. McGowan
    Pages 107-132

  9. The Borweins’ Cubic Theta Functions and q-Elliptic Functions

    • Richard Lewis, Zhi-Guo Liu
    Pages 133-145

  10. Some Eisenstein Series Identities Associated with the Borwein Functions

    • Zhi-Guo Liu
    Pages 147-169

  11. Hankel Determinants of Eisenstein Series

    • Stephen C. Milne
    Pages 171-188

  12. Jacobi’s Identity and Two K3-Surfaces

    • Maki Murata
    Pages 189-198

  13. q-Random Matrix Ensembles

    • K. A. Muttalib, Y. Chen, M. E. H. Ismail
    Pages 199-221

  14. Differential Endomorphisms for Modular Forms On Γ0(4)

    • Ken Ono
    Pages 223-229

  15. On the Asymptotics of Takeuchi Numbers

    • Thomas Prellberg
    Pages 231-242

  16. Fine-Tuning Zeilberger’s Algorithm

    • Axel Riese
    Pages 243-254

  17. Gaussian Integrals and the Rogers-Ramanujan Identities

    • D. Stanton
    Pages 255-265

  18. Some Remarks on a Product Expansion

    • M. V. Subbarao, A. Verma
    Pages 267-283

  19. Back Matter

    Pages 285-285
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Keywords

About this book

These are the proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, 1999. The main emphasis of the conference was Com­ puter Algebra (i. e. symbolic computation) and how it related to the fields of Number Theory, Special Functions, Physics and Combinatorics. A subject that is common to all of these fields is q-series. We brought together those who do symbolic computation with q-series and those who need q-series in­ cluding workers in Physics and Combinatorics. The goal of the conference was to inform mathematicians and physicists who use q-series of the latest developments in the field of q-series and especially how symbolic computa­ tion has aided these developments. Over 60 people were invited to participate in the conference. We ended up having 45 participants at the conference, including six one hour plenary speakers and 28 half hour speakers. There were talks in all the areas we were hoping for. There were three software demonstrations.

Editors and Affiliations

  • Department of Mathematics, University of Florida, Gainesville, USA

    Frank G. Garvan

  • Department of Mathematics, University of South Florida, Tampa, USA

    Mourad E. H. Ismail

Bibliographic Information

  • Book Title: Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics

  • Editors: Frank G. Garvan, Mourad E. H. Ismail

  • Series Title: Developments in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4613-0257-5

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 2001

  • Hardcover ISBN: 978-1-4020-0101-7Published: 30 November 2001

  • Softcover ISBN: 978-1-4613-7964-5Published: 17 September 2011

  • eBook ISBN: 978-1-4613-0257-5Published: 01 December 2013

  • Series ISSN: 1389-2177

  • Series E-ISSN: 2197-795X

  • Edition Number: 1

  • Number of Pages: XII, 286

  • Topics: Numeric Computing, Algebra, Combinatorics, Special Functions, Applications of Mathematics

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