Symbolic Summation with Radical Expressions

Research output: Working paper and reportsResearch report

Abstract

An extension of Karr's algorithm is presented by which symbolic sums involving radical expressions can be simplified. We discuss the construction of appropriate difference fields as well as algorithms for solving difference equations in these fields. The paper is concluded with a list of identities found by an implementation of our techniques.
Original languageEnglish
Place of PublicationAltenbergerstrasse 69, 4040 Linz, AUSTRIA
PublisherSFB F13
Number of pages8
Publication statusPublished - Jan 2007

Publication series

NameSFB F013 Reports
No.2007-2

Fields of science

  • 101 Mathematics
  • 101001 Algebra
  • 101005 Computer algebra
  • 101009 Geometry
  • 101012 Combinatorics
  • 101013 Mathematical logic
  • 101020 Technical mathematics

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