Gauss sums for O⁻(2n,q)

• Autorzy: Dae San Kim
• Języki publikacji: EN

Słowa kluczowe

EN

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

Kategorie tematyczne

• 11T23: Exponential sums
• 11T24: Other character sums and Gauss sums
• 20G40: Linear algebraic groups over finite fields
• 20H30: Other matrix groups over finite fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 80
• Numer: 4
• Strony: 343-365

Daty

wydano

1997

otrzymano

1996-06-25

poprawiono

1996-12-02

Twórcy

autor

Dae San Kim

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

Bibliografia

• [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.