The systems of primitive roots the degree and rank of prime numbers

Abstract

Using the notions of the rank and the degree of a prime p≠2 relative to a residue class g(modp), where g is a positive integer with (g,p)= 1, we study the systems of primitive roots. This study leads to the understanding of the behavior of the discrete periodical signals whose values are the digits of the inverses of integers expressed in an arithmetic system with base g.

Keywords:

• Primitive root
• residue class
• rank of prime number
• degree of prime number

C.R. Category:

• F 2.2