Exponential sums for symplectic groups and their applications
Dae San Kim
Acta Arithmetica, Tome 89 (1999), p. 155-171 / Harvested from The Polish Digital Mathematics Library
Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:207236
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     author = {Dae San Kim},
     title = {Exponential sums for symplectic groups and their applications},
     journal = {Acta Arithmetica},
     volume = {89},
     year = {1999},
     pages = {155-171},
     zbl = {0943.11055},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav88i2p155bwm}
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Dae San Kim. Exponential sums for symplectic groups and their applications. Acta Arithmetica, Tome 89 (1999) pp. 155-171. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav88i2p155bwm/

[000] [1] B. C. Berndt and R. J. Evans, Sums of Gauss, Jacobi, and Jacobsthal, J. Number Theory 11 (1979), 349-398.

[001] [2] B. C. Berndt and R. J. Evans, Sums of Gauss, Eisenstein, Jacobi, and Jacobsthal, and Brewer, Illinois J. Math. 23 (1979), 374-437.

[002] [3] B. C. Berndt and R. J. Evans, The determination of Gauss sums, Bull. Amer. Math. Soc. (N.S.) 5 (1981), 107-129. | Zbl 0471.10028

[003] [4] L. Carlitz, Representation by skew forms in a finite field, Arch. Math. (Basel) 5 (1954), 19-31. | Zbl 0056.01702

[004] [5] J. H. Hodges, Exponential sums for skew matrices in a finite field, Arch. Math. 7 (1956), 116-121. | Zbl 0071.01702

[005] [6] J. H. Hodges, Weighted partitions for skew matrices over a finite field, Arch. Math. 8 (1957), 16-22. | Zbl 0080.01202

[006] [7] D. S. Kim, Gauss sums for general and special linear groups over a finite field, Arch. Math. 69 (1997), 297-304. | Zbl 1036.11528

[007] [8] D. S. Kim, Gauss sums for symplectic groups over a finite field, Monatsh. Math. 126 (1998), 55-71. | Zbl 1036.11529

[008] [9] D. S. Kim, Gauss sums for O¯(2n,q), Acta Arith. 80 (1997), 343-365.

[009] [10] D. S. Kim, Gauss sums for O(2n+1,q), Finite Fields Appl. 4 (1998), 62-86. | Zbl 0937.11058

[010] [11] D. S. Kim, Gauss sums for U(2n,q²), Glasgow Math. J. 40 (1998), 79-95. | Zbl 0915.11061

[011] [12] D. S. Kim, Gauss sums for U(2n+1,q²), J. Korean Math. Soc. 34 (1997), 871-894 . | Zbl 1036.11527

[012] [13] D. S. Kim and I.-S. Lee, Gauss sums for O⁺(2n,q), Acta Arith. 78 (1996), 75-89.

[013] [14] D. S. Kim and Y. H. Park, Gauss sums for orthogonal groups over a finite field of characteristic two, Acta Arith. 82 (1997), 331-357.

[014] [15] D. H. and E. Lehmer, On the cubes of Kloosterman sums, Acta Arith. 6 (1960), 15-22. | Zbl 0092.04701

[015] [16] D. H. and E. Lehmer, The cyclotomy of Kloosterman sums, Acta Arith. 12 (1967), 385-407. | Zbl 0149.28603

[016] [17] R. Lidl and H. Niederreiter, Finite Fields, Encyclopedia Math. Appl. 20, Cambridge Univ. Press, Cambridge, 1987.

[017] [18] H. Salié, Über die Kloostermanschen Summen S(u,v;q), Math. Z. 34 (1932), 91-109.