Long range percolation in one dimension

For lattice sites at integer values along the line let the probability of a bond between sites m and n be p/ mod m-n mod s, m not=n, 0<or=p<1, 1<s<or=2. The author proves that for p<pc(B)=1/2 zeta (s) there is no infinite cluster and that for s>2 there is never an infinite cluster.