Hostname: page-component-848d4c4894-5nwft Total loading time: 0 Render date: 2024-05-28T23:45:12.995Z Has data issue: false hasContentIssue false
  • English
  • Français

Asymptotic analysis of partition identities

Published online by Cambridge University Press:  17 April 2009

Dennis Acreman
Dennis Acreman
Affiliation:
School of Mathematics, University of New South Wales, PO Box 1, Kensington, New South Wales 2033, Australia.
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Abstracts of Australasian PhD theses
Information
Bulletin of the Australian Mathematical Society , Volume 28 , Issue 2 , October 1983 , pp. 299 - 301
Copyright
Copyright © Australian Mathematical Society 1983

References

[1] Andrews, G.E., “An incredible formula of Ramanujan”, Austral. Math. Soc. Gazette 6 (1979), 80–89.Google Scholar
[2] Hirschhorn, M.D., “Two further Ramanujan pairs”, J. Austral. Math. Soc. Ser. A 30 (1980/1981), 1–4.CrossRefGoogle Scholar
[3] Loxton, J.H., “Special values of the dilogarithm function”, Acta Arith. (to appear).Google Scholar
[4] Richmond, B. and Szekeres, G., “Some formulae related to dilogarithms, the zeta function and the Andrews-Gordon identities”, J. Austral. Math. Soc. Ser. A 31 (1981), 362–373.Google Scholar
[5] Slater, L.J., “Further identities of the Rogers-Ramanujan type”, Proc. London Math. Soc. (2) 54 (1951), 147–167.Google Scholar
[6] Szekeres, G., “Some asymptotic formulae in the theory of partitions (II)”, Quart. J. Math. Oxford (2) 4 (1953), 96–111.CrossRefGoogle Scholar
[7] Verma, A. and Jain, V.K., “Transformations between basic hypergeometric series of different bases and identities of Rogers-Ramanujan type”, J. Math. Anal. Appl. 76 (1980), 230–269.CrossRefGoogle Scholar