Mode For The Three Gaussian And The Distribution Of Primes In Arithmetic Progression

In this paper, normalized cubic Gauss sums' distribution at unit circle is studied by analytical methods. Using Weyl's criterion, by adding a Hecke character, we generalize the theorem that Heath-Brown & Patterson proved in [1]. We conclude that normalized cubic Gauss sums which modular is primes in arithmetic progressions are uniformly distributed around the circle and we get that there is no rule like quadratic Gauss sums.