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Advances in Computer Algebra

In Honour of Sergei Abramov's' 70th Birthday, WWCA 2016, Waterloo, Ontario, Canada

  • Conference proceedings
  • © 2018

Overview

Editors:
  1. Carsten Schneider

    1. Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria

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  2. Eugene Zima

    1. Department of Physics and Computer Science, Wilfrid Laurier University, Waterloo, Canada

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  • Includes papers on original research topics from the Waterloo Workshop on Computer Algebra (WWCA-2016), a satellite workshop of the International Symposium on Symbolic and Algebraic Computation (ISSAC’2016), held at Wilfrid Laurier University (Waterloo, Ontario, Canada) on July 23–24, 2016
  • Commemorates the 70th birthday of Sergei Abramov (Dorodnicyn Computing Centre of the Russian Academy of Sciences, Moscow)
  • Presents the latest research results in symbolic summation and integration with applications in particle physics
  • Discusses recent advances in complexity analysis of symbolic algorithms
  • Includes contributions by the foremost researchers in the areas
  • Focuses on mathematical software and its application to scientific problems within a wide spectrum of research areas

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 226)

Included in the following conference series:

Conference proceedings info: WWCA 2016.

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Table of contents (10 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. On Strongly Non-singular Polynomial Matrices

    • Sergei A. Abramov, Moulay A. Barkatou
    Pages 1-17

  3. On the Computation of Simple Forms and Regular Solutions of Linear Difference Systems

    • Moulay A. Barkatou, Thomas Cluzeau, Carole El Bacha
    Pages 19-49

  4. Refined Holonomic Summation Algorithms in Particle Physics

    • Johannes Blümlein, Mark Round, Carsten Schneider
    Pages 51-91

  5. Bivariate Extensions of Abramov’s Algorithm for Rational Summation

    • Shaoshi Chen
    Pages 93-104

  6. A q-Analogue of the Modified Abramov-Petkovšek Reduction

    • Hao Du, Hui Huang, Ziming Li
    Pages 105-129

  7. Factorization of C-Finite Sequences

    • Manuel Kauers, Doron Zeilberger
    Pages 131-147

  8. Denominator Bounds for Systems of Recurrence Equations Using \(\varPi \varSigma \)-Extensions

    • Johannes Middeke, Carsten Schneider
    Pages 149-173

  9. Representing (\(\varvec{q}\)–)Hypergeometric Products and Mixed Versions in Difference Rings

    • Evans Doe Ocansey, Carsten Schneider
    Pages 175-213

  10. Linearly Satellite Unknowns in Linear Differential Systems

    • Anton A. Panferov
    Pages 215-227

  11. Rogers-Ramanujan Functions, Modular Functions, and Computer Algebra

    • Peter Paule, Silviu Radu
    Pages 229-280
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Other volumes

  1. Advances in Computer Algebra

Keywords

About this book

This book discusses the latest advances in algorithms for symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. It presents a collection of papers on original research topics from the Waterloo Workshop on Computer Algebra (WWCA-2016), a satellite workshop of the International Symposium on Symbolic and Algebraic Computation (ISSAC’2016), which was held at Wilfrid Laurier University (Waterloo, Ontario, Canada) on July 23–24, 2016.
 
This workshop and the resulting book celebrate the 70th birthday of Sergei Abramov (Dorodnicyn Computing Centre of the Russian Academy of Sciences, Moscow), whose highly regarded and inspirational contributions to symbolic methods have become a crucial benchmark of computer algebra and have been broadly adopted by many Computer Algebra systems.

Editors and Affiliations

  • Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria

    Carsten Schneider

  • Department of Physics and Computer Science, Wilfrid Laurier University, Waterloo, Canada

    Eugene Zima

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