We provide a new approach to establishing certain q-series identities that were proved by Andrews, and show how to prove further identities using conjugate Bailey pairs. Some relations between some q-series and ternary quadratic forms are established.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm122-2-12, author = {Alexander E. Patkowski}, title = {On Bailey pairs and certain q-series related to quadratic and ternary quadratic forms}, journal = {Colloquium Mathematicae}, volume = {122}, year = {2011}, pages = {265-273}, zbl = {1234.11142}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm122-2-12} }
Alexander E. Patkowski. On Bailey pairs and certain q-series related to quadratic and ternary quadratic forms. Colloquium Mathematicae, Tome 122 (2011) pp. 265-273. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm122-2-12/