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Séminaire Lotharingien de Combinatoire, B42d (1999), 27 pp.

# Frank Garvan

# Qseries Maple Tutorial:
A *q*-Product Tutorial for a *q*-Series Maple Package

**Abstract.**
This is a tutorial for using a new *q*-series
Maple package. The package includes facilities for
conversion between *q*-series and *q*-products
and finding algebraic relations between *q*-series.
Andrews found an algorithm for converting a *q*-series
into a product. We provide an implementation.
As an application we are able to effectively
find finite *q*-product factorisations when they
exist thus answering a question of Andrews.
We provide other applications involving
factorisations into theta-functions and eta-products.

Received: December 16, 1998; Accepted: February 15, 1999.

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