ON THE PROBABILITY THAT n AND ft{n) ARE RELATIVELY PRIME
Krishnaswami Allad · 1981
Give an element i = (i19..., ik) e I> weight w(i) = x ^ 1... x £ k and define the weight w(S) of S C Z k to be the sum of the weights of the elements of S. The main result is that (33) w(H) + w(H + D)z + W(H + D + £);s 2 + •-.. is a rational function in x- { ,...,# £ and s. • A consequence of this is that the sequence of volumes (|# | , | # + Z? | , | # + Z) + Z)|,..,) forms a rational sequence.