On the determination of Gauss sums

John H. Loxton

Displaying similar documents to “On the determination of Gauss sums”

On the determination of generalized Gauss sums

J. W. S. Cassels (1969)

Archivum Mathematicum

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The asymptotic distribution of exponential sums. II.

Patterson, S.J. (2005)

Experimental Mathematics

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On rationality of Jacobi sums

Katsumi Shiratani, Mieko Yamada (1997)

Colloquium Mathematicae

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An elementary proof of the Davenport-Hasse relation

Stanislav Jakubec (2001)

Mathematica Slovaca

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Power-moments of SL $_{3} (ℤ)$ Kloosterman sums

Goran Djanković (2013)

Czechoslovak Mathematical Journal

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Classical Kloosterman sums have a prominent role in the study of automorphic forms on GL $_{2}$ and further they have numerous applications in analytic number theory. In recent years, various problems in analytic theory of automorphic forms on GL $_{3}$ have been considered, in which analogous GL $_{3}$ -Kloosterman sums (related to the corresponding Bruhat decomposition) appear. In this note we investigate the first four power-moments of the Kloosterman sums associated with the group SL $_{3} (ℤ)$ . We give formulas...

Cyclotomy of order 15 over $G F (p^{2})$ , $p = 4, 11$ (mod 15).

Friesen, Christian, Muskat, Joseph B., Spearman, Blair K., Williams, Kenneth S. (1986)

International Journal of Mathematics and Mathematical Sciences

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Displaying similar documents to “On the determination of Gauss sums”

On the determination of generalized Gauss sums

The asymptotic distribution of exponential sums. II.

On rationality of Jacobi sums

An elementary proof of the Davenport-Hasse relation

Power-moments of SL 3 ( ℤ ) Kloosterman sums

Cyclotomy of order 15 over G F ( p 2 ) , p = 4 , 11 (mod 15).

Power-moments of SL $_{3} (ℤ)$ Kloosterman sums

Cyclotomy of order 15 over $G F (p^{2})$ , $p = 4, 11$ (mod 15).