A conjecture of Kátai
Let , be a Cantor scale, the compact projective limit group of the groups , identified to , and let be its normalized Haar measure. To an element , of we associate the sequence of integral valued random variables . The main result of this article is that, given a complex -multiplicative function of modulus , we have
In this paper we establish the distribution of prime numbers in a given arithmetic progression for which is squarefree.