| Abstract: | Let  be an arbitrary integer base and let  be the number of different prime factors  of  with  ,  . Further let  be the set of points on the unit circle with finite  –adic expansions of their coordinates and let  be the set of angles of the points  . Then  is an additive group which is the direct sum of  infinite cyclic groups and of the finite cyclic group  . If in case of  the points of  are arranged according to the number of digits of their coordinates, then the arising sequence  is uniformly distributed on the unit circle. On the other hand, in case of  the only points in  are the exceptional points (1, 0), (0, 1), (–1, 0), (0, –1). The proofs are based on a canonical form for all integer solutions  of  . |
