Séminaire Lotharingien de Combinatoire, B42d (1999), 27 pp.
Qseries Maple Tutorial:
A q-Product Tutorial for a q-Series Maple Package
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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