ArticleOriginal scientific text

Title

Gauss sums for O⁻(2n,q)

Authors 1

Affiliations

  1. Department of Mathematics, Seoul Women's University, Seoul 139-774, Korea

Keywords

Gauss sum, multiplicative character, additive character, orthogonal group, Kloosterman sum, Bruhat decomposition, maximal parabolic subgroup

Bibliography

  1. L. Carlitz, Weighted quadratic partitions over a finite field, Canad. J. Math. 5 (1953), 317-323.
  2. L. Carlitz, Representations by quadratic forms in a finite field, Duke Math. J. 21 (1954), 123-137.
  3. L. E. Dickson, Linear Groups with an Exposition of the Galois Field Theory, Teubner, Leipzig, 1901.
  4. J. H. Hodges, Exponential sums for symmetric matrices in a finite field, Math. Nachr. 14 (1955), 331-339.
  5. J. H. Hodges, Weighted partitions for symmetric matrices, Math. Z. 66 (1956), 13-24.
  6. J. H. Hodges, Weighted partitions for general matrices over a finite field, Duke Math. J. 23 (1956), 545-552.
  7. J. H. Hodges, Weighted partitions for skew matrices over a finite field, Arch. Math. (Basel) 8 (1957), 16-22.
  8. J. H. Hodges, Weighted partitions for Hermitian matrices over a finite field, Math. Nachr. 17 (1958), 93-100.
  9. D. S. Kim, Gauss sums for O(2n+1,q), submitted.
  10. D. S. Kim, Gauss sums for symplectic groups over a finite field, Monatsh. Math., to appear.
  11. D. S. Kim and I.-S. Lee, Gauss sums for O⁺(2n,q), Acta Arith. 78 (1996), 75-89.
  12. R. Lidl and H. Niederreiter, Finite Fields, Encyclopedia Math. Appl. 20, Cambridge University Press, Cambridge, 1987.
Pages:
343-365
Main language of publication
English
Received
1996-06-25
Accepted
1996-12-02
Published
1997
Exact and natural sciences