Hostname: page-component-84b7d79bbc-rnpqb Total loading time: 0 Render date: 2024-07-28T22:51:14.137Z Has data issue: false hasContentIssue false
  • English
  • Français

A multiple character sum evaluation

Published online by Cambridge University Press:  17 April 2009

Dae San Kim
Dae San Kim
Affiliation:
Department of Mathematics, Sogang University, Seoul 121 - 742, South Korea, e-mail: dskim@sogang.ac.kr
Rights & Permissions [Opens in a new window]

Extract

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.

We evaluate in a simple and direct manner a multiple character sum. a special case of which can also be derived from the Möbius inversion and a result of Hanlon.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 72 , Issue 1 , August 2005 , pp. 157 - 160
Copyright
Copyright © Australian Mathematical Society 2005

References

[1]Calderbank, A.R., Hanlon, P. and Robinson, R.W., ‘Partitions into even and odd block size and some unusual characters of the symmetric groups’, Proc. London Math. Soc. 53 (1986), 288–320.CrossRefGoogle Scholar
[2]Hanlon, P., ‘The fixed-point partition lattices’, Pacific J. Math. 96 (1981), 319–341.CrossRefGoogle Scholar
[3]Hanlon, P., ‘The characters of the wreath product group acting on the homology groups of the Dowling lattices’, J. Algebra 91 (1984), 430–463.CrossRefGoogle Scholar
[4]Hanlon, P., ‘The generalized Dowling lattices’, Trans. Amer. Math. Soc. 325 (1991), 1–37.CrossRefGoogle Scholar