Article contents
On some sum–to–product identities
Published online by Cambridge University Press: 17 April 2009
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
To George Szekeres on his ninetieth birthday
We give new proofs of some sum–to–product identities due to Blecksmith, Brillhart and Gerst, as well as some other such identities found recently by us.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 2001
References
[1]Andrews, G.E., The theory of partitions, Encyclopedia of Mathematics and its Applications 2 (Addison–Wesley, Reading, London, Amsterdam, 1976).Google Scholar
[2]Blecksmith, R., Brillhart, J. and Gerst, I., ‘Parity results for certain partition functions and identities similar to theta function identities’, Math. Comp. 48 (1987), 29–38.CrossRefGoogle Scholar
[3]Blecksmith, R., Brillhart, J. and Great, I., ‘Some infinite product identities’, Math. Comp. 51 (1988), 301–314.CrossRefGoogle Scholar
[4]Hirschhorn, M.D., ‘A generalisation of the quintuple product identity’, J. Austral. Math. Soc. Ser. A 44 (1988), 42–45.CrossRefGoogle Scholar
[5]Hirschhorn, M.D., ‘On the expansion of Ramanujan's continued fraction’, Ramanujan J. 2 (1998), 521–527.CrossRefGoogle Scholar
You have
Access
- 8
- Cited by