On Bailey pairs and certain q-series related to quadratic and ternary quadratic forms

Alexander E. Patkowski

Colloquium Mathematicae (2011)

  • Volume: 122, Issue: 2, page 265-273
  • ISSN: 0010-1354

Abstract

top
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.

How to cite

top

Alexander E. Patkowski. "On Bailey pairs and certain q-series related to quadratic and ternary quadratic forms." Colloquium Mathematicae 122.2 (2011): 265-273. <http://eudml.org/doc/284378>.

@article{AlexanderE2011,
abstract = {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.},
author = {Alexander E. Patkowski},
journal = {Colloquium Mathematicae},
keywords = {-series; Bailey pairs},
language = {eng},
number = {2},
pages = {265-273},
title = {On Bailey pairs and certain q-series related to quadratic and ternary quadratic forms},
url = {http://eudml.org/doc/284378},
volume = {122},
year = {2011},
}

TY - JOUR
AU - Alexander E. Patkowski
TI - On Bailey pairs and certain q-series related to quadratic and ternary quadratic forms
JO - Colloquium Mathematicae
PY - 2011
VL - 122
IS - 2
SP - 265
EP - 273
AB - 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.
LA - eng
KW - -series; Bailey pairs
UR - http://eudml.org/doc/284378
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.