The shifted prime-divisor function over shifted primes

Steve Fan

Let $a,b\in \mathbb{Z}\setminus \{0\}$. For every $n\in \mathbb{N}$, denote by ${\omega }_a^{\ast }(n)$ the number of shifted-prime divisors $p-a$ of $n$, where $p>a$ is prime. In this paper, we st…