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A q-product Tutorial for a q-series Maple Package

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The Andrews Festschrift

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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 etaproducts.

This research was supported by the NSF under grant number DMS-9870052.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Florida, Gainesville, Florida, 32611

    Frank Garvan

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  1. Frank Garvan
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Editor information

Editors and Affiliations

  1. Département de mathématique, Université Louis Pasteur, 7, rue René-Descartes, 67084, Strasbourg, France

    Dominique Foata

  2. I.R.M.A. et C.N.R.S., Université Louis Pasteur, 7, rue René-Descartes, 67084, Strasbourg, France

    Guo-Niu Han

Additional information

Dedicated to George E. Andrews on the occasion of his 60th Birthday

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© 2001 Springer-Verlag Berlin Heidelberg

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Garvan, F. (2001). A q-product Tutorial for a q-series Maple Package. In: Foata, D., Han, GN. (eds) The Andrews Festschrift. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56513-7_4

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  • DOI: https://doi.org/10.1007/978-3-642-56513-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41491-9

  • Online ISBN: 978-3-642-56513-7

  • eBook Packages: Springer Book Archive

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