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A q-product tutorial for a q-series MAPLE package

Frank Garvan
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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.

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Frank Garvan. 1998-12-16. A q-product tutorial for a q-series MAPLE package. https://arxiv.org/abs/math/9812092

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