Geodesic
Qseries Maple Tutorial: A q-Product Tutorial for a q-Series Maple Package
Séminaire lotharingien de combinatoire, Tome 42 (1998-1999)

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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. 

@article{SLC_1998-1999_42_a4,
     author = {Frank Garvan},
     title = {Qseries {Maple} {Tutorial:} {A} {q-Product} {Tutorial} for a {q-Series} {Maple} {Package}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {42},
     year = {1998-1999},
     url = {http://geodesic.mathdoc.fr/item/SLC_1998-1999_42_a4/}
}
TY  - JOUR
AU  - Frank Garvan
TI  - Qseries Maple Tutorial: A q-Product Tutorial for a q-Series Maple Package
JO  - Séminaire lotharingien de combinatoire
PY  - 1998-1999
VL  - 42
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_1998-1999_42_a4/
ID  - SLC_1998-1999_42_a4
ER  - 
%0 Journal Article
%A Frank Garvan
%T Qseries Maple Tutorial: A q-Product Tutorial for a q-Series Maple Package
%J Séminaire lotharingien de combinatoire
%D 1998-1999
%V 42
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_1998-1999_42_a4/
%F SLC_1998-1999_42_a4
Frank Garvan. Qseries Maple Tutorial: A q-Product Tutorial for a q-Series Maple Package. Séminaire lotharingien de combinatoire, Tome 42 (1998-1999). http://geodesic.mathdoc.fr/item/SLC_1998-1999_42_a4/