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A new approach to Jacobi's theorems via Ramanujan's continued fractions

Published online by Cambridge University Press:  17 April 2009

Chandrashekar Adiga  and
Jung Hun Han
Chandrashekar Adiga
Affiliation:
Department of Studies in Mathematics, University of Mysore, Manasa Gangotri, Mysore - 570 006, India, e-mail: [email protected], [email protected]
Jung Hun Han
Affiliation:
Department of Studies in Mathematics, University of Mysore, Manasa Gangotri, Mysore - 570 006, India, e-mail: [email protected], [email protected]
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In this paper, we show that Jacobi's two-square and two-triangular number theorems are immediate consequence of Ramanujan's continued fraction identities.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 71 , Issue 1 , February 2005 , pp. 75 - 79
Copyright
Copyright © Australian Mathematical Society 2005

References

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