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ON η3()η3() WITH a+b=8

Published online by Cambridge University Press:  01 June 2008

HENG HUAT CHAN*
Affiliation:
Department of Mathematics, National University of Singapore, 2 Science Drive 2, 117543, Singapore (email: matchh@nus.edu.sg)
SHAUN COOPER
Affiliation:
Albany Campus, Massey University, Private Bag 102 904, North Shore Mail Centre, Auckland, New Zealand (email: s.cooper@massey.ac.nz)
WEN-CHIN LIAW
Affiliation:
Department of Mathematics, National Chung Cheng University, Min-Hsiung, Chia-Yi, 62101, Taiwan, Republic of China (email: wcliaw@math.ccu.edu.tw)
*
For correspondence; e-mail: matchh@nus.edu.sg
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Abstract

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We prove an observation associated with η3(τ)η3(7τ) which is found on page 54 of Ramanujan’s Lost Notebook (S. Ramanujan, The Lost Notebook and Other Unpublished Papers (Narosa, New Delhi, 1988)). We then study functions of the type η3()η3() with a+b=8.

Type
Research Article
Copyright
Copyright © 2008 Australian Mathematical Society

Footnotes

The first author is partially supported by Academic Research Fund, National University of Singapore, R-146-000-103-112.

References

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