Written by world-renowned experts, the book is a collection of tutorial presentations and research papers catering to the latest advances in symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. The papers were presented at a workshop celebrating the 60th birthday of Sergei Abramov (Russia), whose highly influential contributions to symbolic methods are adopted in many leading computer algebra systems.

Contents:

• Hypergeometric Summation Revisited (S A Abramov & M Petkovsek)
• Five Applications of Wilf-Zeilberger Theory to Enumeration and Probability (M Apagodu & D Zeilberger)
• Factoring Systems of Linear Functional Equations Using Eigenrings (M A Barkatou)
• Modular Computation for Matrices of Ore Polynomials (H Cheng & G Labahn)
• Beta-Expansions of Pisot and Salem Numbers (K G Hare)
• Logarithmic Functional and the Weil Reciprocity Law (A Khovanskii)
• On Solutions of Linear Functional Systems and Factorization of Laurent–Ore Modules (M Wu & Z Li)
• The Vector Rational Function Reconstruction Problem (Z Olesh & A Storjohann)
• Fast Algorithm for Computing Multipole Matrix Elements with Legendre Polynomials (V Yu et al.)
• Recurrence Relations for the Coefficients in Hypergeometric Series Expansions (L Rebillard & H Zakrajsek)
• On Factorization and Solution of Multidimensional Linear Partial Differential Equations (S P Tsarev)
• Two Families of Algorithms for Symbolic Polynomials (S M Watt)