COMPUTATION OF JACOBI SUMS AND CYCLOTOMIC NUMBERS WITH REDUCED COMPLEXITY

Abstract

Jacobi sums and cyclotomic numbers are the important objects in number theory. The determination of all the Jacobi sums and cyclotomic numbers of order  is  merely intricate to compute. This paper presents the lesser numbers of Jacobi sums and cyclotomic numbers which are enough for the determination all Jacobi sums and the cyclotomic numbers of a particular order.