Hostname: page-component-76fb5796d-x4r87 Total loading time: 0 Render date: 2024-04-28T15:12:04.836Z Has data issue: false hasContentIssue false
  • English
  • Français

Infinitely many identities of kolberg type

Published online by Cambridge University Press:  09 April 2009

Michael D. Hirschhorn
Michael D. Hirschhorn
Affiliation:
School of Mathematics, University of New South Wales, Kensington, N.S.W. 2033, Australia
Rights & Permissions [Opens in a new window]

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.

O. Kolberg has shown that if the partition generating function is split into five interlocking series, then certain algebraic relations hold among these series. We show that the same phenomenon occurs whenever the number of such series is not a power of two.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 31 , Issue 1 , June 1981 , pp. 20 - 25
Copyright
Copyright © Australian Mathematical Society 1981

References

Hirschhorn, M. D. (1977), ‘Polynomial identities which imply identities of Euler and Jocobi’, Acta Arith. XXXII, 73–78.CrossRefGoogle Scholar
Kolberg, O. (1957), ‘Some identities involving the partition function’, Math. Scand. 5, 77–92.CrossRefGoogle Scholar