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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