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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: [email protected]
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We give a simple proof of the identity The 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 .

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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