On Bailey pairs and certain q-series related to quadratic and ternary quadratic forms
Alexander E. Patkowski
Colloquium Mathematicae, Tome 122 (2011), p. 265-273 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:284378
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     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}
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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/