On an Erdős–Kac-type conjecture of Elliott
Elliott and Halberstam proved that $\sum_{p \lt n} 2^{\omega(n-p)}$ is asymptotic to $\phi(n)$. In analogy to the Erdős–Kac theorem, Elliott conjectured that if one restricts the summation to primes p such that $\omega(n-p)\le 2 \log \log n+\lambda(2\log \log n)^{1/2}$ then the sum will be asymptoti...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Sprog: | English |
| Udgivet: |
Oxford University Press
2024
|