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A simple proof of an expansion of an eta-quotient as a Lambert series

Published online by Cambridge University Press:  17 April 2009

Shaun Cooper
Shaun Cooper
Affiliation:
Institute of Information and Mathematical Sciences, Massey University - Albany, Private Bag 102904, North Shore Mail Centre, Auckland, New Zealand, e-mail: s.cooper@massey.ac.nz
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We give a simple proof of the identityThe proof uses only a few well-known properties of the cubic theta functions a(q), b(q) and c(q). We show this identity implies the interesting definite integral.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 71 , Issue 3 , June 2005 , pp. 353 - 358
Copyright
Copyright © Australian Mathematical Society 2005

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