Gauss and Jacobi Sums [chapter]

Kenneth Ireland, Michael Rosen
1982 A Classical Introduction to Modern Number Theory  
In this note, we define the notions of Gauss and Jacobi sums and apply them to investigate the number of solutions of polynomial equations over finite fields. Then using them we will verify the validity of the Weil conjectures for a class of projective hypersurfaces defined over finite fields.
doi:10.1007/978-1-4757-1779-2_8 fatcat:psjlerku3bbutahxmsi4ppboqu