56 citations · 90 across the 26 of their papers we have counts for
8 papers · 1 filter
On the mean square of the error term for the two-dimensional divisor problems(II)
Xiaodong Cao, Wenguang Zhai
Let denote the error term of the general two-dimensional divisor problem. In this paper we shall study the relation between the discrete mean value $\sum_{n\leq T}Δ^2(a,…
On the mean square of the error term for the two-dimensional divisor problem (I)
Wenguang Zhai, Xiaodong Cao
Suppose and are two fixed positive integers such that In this paper we shall establish an asymptotic formula for the mean square of the error term o…
On the error term in Weyl's law for the Heisenberg manifolds
Wenguang Zhai
For a fixed integer , let denote the error term in the Weyl's law of a -dimensional Heisenberg manifold with the metric In this paper we shall prove…
On the -free divisor problem
Jun Furuya, Wenguang Zhai
Let denote the error term of the -free divisor problem for . In this paper we establish an asymptotic formula of the integral fo…
On the Rankin-Selberg problem: higher power moments of the Riesz mean error term
Yoshio Tanigawa, Wenguang Zhai, Deyu Zhang
Let be the error term of the first Riesz means of the Rankin-Selberg zeta function. We study the higher power moments of and derive an asymptotic formula for…
On the fourth power moment of and in short intervals
Yoshio Tanigawa, Wenguang Zhai
Let and be error terms of the sum of divisor function and the mean square of the Riemann zeta function, respectively. In this paper their fourth power moments for sho…