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

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

1998-12-16

arxiv.org/abs/math/9812092v1

Mathematics

Combinatorics

26 pages

Scientific paper

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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