Zhen Guo

collaborators

3 papers

math.NT2024

On moments of the error term of the multivariable k-th divisor functions

Zhen Guo, Xin Li

Suppose $k ⩾ 3$ is an integer. Let $I ¨ _{k} (n)$ be the number of ways $n$ can be written as a product of $k$ fixed factors. For any fixed integer $r ⩾ 2$ , we have the asym…

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 $I^ (x)$ to denote the error term in the asymptotic formula…

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 $I^ (x)$ 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…