Gauss sums for O⁻(2n,q)
Acta Arithmetica (1997)
- Volume: 80, Issue: 4, page 343-365
- ISSN: 0065-1036
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topDae San Kim. "Gauss sums for O⁻(2n,q)." Acta Arithmetica 80.4 (1997): 343-365. <http://eudml.org/doc/207048>.
@article{DaeSanKim1997,
author = {Dae San Kim},
journal = {Acta Arithmetica},
keywords = {Gauss sum; multiplicative character; additive character; orthogonal group; Kloosterman sum; Bruhat decomposition; maximal parabolic subgroup; Kloosterman sums; multiplicative characters; Gauss sums},
language = {eng},
number = {4},
pages = {343-365},
title = {Gauss sums for O⁻(2n,q)},
url = {http://eudml.org/doc/207048},
volume = {80},
year = {1997},
}
TY - JOUR
AU - Dae San Kim
TI - Gauss sums for O⁻(2n,q)
JO - Acta Arithmetica
PY - 1997
VL - 80
IS - 4
SP - 343
EP - 365
LA - eng
KW - Gauss sum; multiplicative character; additive character; orthogonal group; Kloosterman sum; Bruhat decomposition; maximal parabolic subgroup; Kloosterman sums; multiplicative characters; Gauss sums
UR - http://eudml.org/doc/207048
ER -
References
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- [6] J. H. Hodges, Weighted partitions for general matrices over a finite field, Duke Math. J. 23 (1956), 545-552. Zbl0072.26702
- [7] J. H. Hodges, Weighted partitions for skew matrices over a finite field, Arch. Math. (Basel) 8 (1957), 16-22. Zbl0080.01202
- [8] J. H. Hodges, Weighted partitions for Hermitian matrices over a finite field, Math. Nachr. 17 (1958), 93-100. Zbl0084.04501
- [9] D. S. Kim, Gauss sums for O(2n+1,q), submitted. Zbl0937.11058
- [10] D. S. Kim, Gauss sums for symplectic groups over a finite field, Monatsh. Math., to appear. Zbl1036.11529
- [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.
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