Mikhail R. Gabdullin

collaborators

2 papers

math.NT2025

Moments of the shifted prime divisor function

Mikhail R. Gabdullin

Let $Ï^*(n) = \{d|n: d=p-1, \mbox{$p$ is a prime}\}$. We show that, for each integer $k \geq 2$ , $n \leq x \sum I ¨ ^{*} (n)^{k} ≍ x (lo g x)^{2^{k} - k - 1},$ where the implied constant…

math.NT2024

Primes with small primitive roots

Kevin Ford, Mikhail R. Gabdullin, Andrew Granville

Let $I^´ (p)$ tend to zero arbitrarily slowly as $p \to \infty$ . We exhibit an explicit set $S$ of primes $p$ , defined in terms of simple functions of the prime factors of $p…