Generalized cyclic congruence

Abstract. This article generalizes the in the theory of finite fields important relation of \(r\sim s\) defined on \(\textbf{Z}\) by the congruence \(s\equiv rq^{t}\ (q-1)\), where \(r\) and \(s\) are arbitrary integers, \(t\) is a
non-negative integer and \(q\) is a power of a prime.