Xin Li

collaborators

2 papers

math.NT2024

On high power moments of the error term of the Dirichlet divisor function over primes

Zhen Guo, Xin Li

Let $3 ⩽ k ⩽ 9$ be a fixed integer, $p$ be a prime and $d (n)$ denote the Dirichlet divisor function. We use $Δ (x)$ to denote the error term in the asymptotic formula o…

math.NT2024

On a sum of the error term of the Dirichlet divisor function over primes

Zhen Guo, Xin Li

Let $d (n)$ be the Dirichlet divisor function and $Δ (x)$ denote the error term of the sum $\sum_{n ⩽ x} d (n)$ for a large real variable $x$ . In this paper we focus on the sum…