Chebyshev’s bias for products of k primes
Chebyshev’s bias for products of k primes
For any k ≥ 1, we study the distribution of the difference between the number of integers n ≤ x with ω(n) = k or Ω(n) = k in two different arithmetic progressions, where ω(n) is the number of distinct prime factors of n and Ω(n) is the number of …