Bull. Austral. Math. Soc. 72(1) pp.157--160, 2005.

A multiple character sum evaluation

Dae San Kim

Received: 19th April, 2005

This work was supported by the Basic Research Program of the Korea Science and Engineering Foundation under Grant R01-2002-000-00083-0(2004).

Abstract

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.

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(Metadata: XML, RSS, BibTeX) MathSciNet: MR2162301 Z'blatt-MATH: 02212193

References

  1. A.R. Calderbank, P. Hanlon and R.W. Robinson;
    Partitions into even and odd block size and some unusual characters of the symmetric groups,
    Proc. London Math. Soc. 53 (1986), pp. 288--320. MR850222
  2. P. Hanlon;
    The fixed-point partition lattices,
    Pacific J. Math. 96 (1981), pp. 319--341. MR637975
  3. P. Hanlon;
    The characters of the wreath product group acting on the homology groups of the Dowling lattices,
    J. Algebra 91 (1984), pp. 430--463. MR769584
  4. P. Hanlon;
    The generalized Dowling lattices,
    Trans. Amer. Math. Soc. 325 (1991), pp. 1--37. MR1014249

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