On integral bases and monogenity of certain pure number fields defined by xpr - a.

Let K = Q(a) be a pure number field generated by a root a of a monic irreducible polynomial xpr - a Z[x], where p is a rational prime and r is a positive integer. Let ZK be the ring of integers of K. In this paper, we calculate an integral basis of ZK and study the monogenity of K in some particular cases. [ABSTRACT FROM AUTHOR]