fastZeil

A Mathematica version of Zeilberger’s algorithm for proving binomial coefficient identities. Based on Gosper’s algorithm for indefinite hypergeometric summation, Zeilberger’s algorithm for proving binomial coefficient identities constitutes a recent breakthrough in symbolic computation. Mathematica implementations of these algorithms are described. Nontrivial examples are given in order to illustrate the usage of these packages which are available by e-mail request to the first-named author.