It was proved by Champernowne [2] that the decimal . 1234567891011 . . . is normal, and by Besicovitch [11 that the same holds for the decimal . 1491625 . . . . Copeland and ErdÃ¶s [3] have provedâ€¦ (More)

1. It is often desirable to be able to approximate to the number of points with integral coordinates in a closed bounded region R in n dimensional space by means of the volume V(K) of ft. Theâ€¦ (More)

1. In his famous memoir [1] of 1916, Weyl gave a necessary and sufficient condition for a sequence s1, s2 , â€¢ â€¢ â€¢ of real numbers to be uniformly distributed modulo 1, namely that for each integer mâ€¦ (More)

In this paper we discuss some of the many problems that can be propounded concerning the distribution of the quadratic residues and non-residues, or more generally the kth power residues andâ€¦ (More)