On the period length of congruential pseudorandom number sequences generated by inversions (Q917208)

A necessary and sufficient condition for the congruential pseudorandom sequences generated by inversions to have maximal period length was given by the authors and \textit{J. Lehn} [Math. Comput. 51, 757-759 (1988; Zbl 0701.65008)] for the case of \(2^ a\), \(a\geq 3\), modulus. In this paper, the authors generalize this result to the case of an arbitrary prime power modulus.