Gauss and Jacobi sums
Bruce C. Berndt, Ronald J. Evans, Kenneth S. Williams.
New York : Wiley, ©1998.
xi, 583 págs. ; 25 cm.
Serie: Canadian Mathematical Society series of monographs and advanced texts ; v. 21
ISBN: 0471128074 (cloth : alk. paper)
"A Wiley-Interscience publication."
Incluye referencias bibliográficas (p. 499-564) e índices.
Reseña: MathSciNet, 99d:11092
Contenido
- 1. Gauss Sums
- 2. Jacobi Sums and Cyclotomic Numbers
- 3. Evaluation of Jacobi Sums Over Fp
- 4. Determination of Gauss Sums Over Fp
- 5. Difference Sets
- 6. Jacobsthal Sums Over Fp
- 7. Residuacity
- 8. Reciprocity Laws
- 9. Congruences for Binomial Coefficients
- 10. Diagonal Equations over Finite Fields
- 11. Gauss Sums over Fq
- 12. Eisenstein Sums
- 13. Brewer Sums
- 14. A General Eisenstein Reciprocity Law. Research Problems.