Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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IDENTITIES ARISING FROM GAUSS SUMS FOR SYMPLECTIC AND ORTHOGONAL GROUPS

  • Chae, Hi-Joon (Department of Mathematics Education, Hongik University) ;
  • Kim, Dae-San (Department of Mathematics, Sogang University)
  • Published : 2010.03.01
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Abstract

We express Gauss sums for symplectic and orthogonal groups over finite fields as averages of exponential sums over certain maximal tori. Together with our previous results, we obtain some interesting identities involving various classical Gauss and Kloosterman sums.

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References

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