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...

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मुख्य लेखकों: Gorodetsky, O, Grimmelt, L
स्वरूप: Journal article
भाषा:English
प्रकाशित: Oxford University Press 2024

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