56 citations · 90 across the 26 of their papers we have counts for
7 papers · 2 filters
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 -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…
On higher-power moments of (III)
Wenguang Zhai
Let be the error term of the Dirichlet divisor problem. An asymptotic formula with the error term is established for the integral Simila…
On higher-power moments of (II)
Wenguang Zhai
Let be the error term of the Dirichlet divisor problem. The asymptotic formula of the integral is established for any integer by an unifie…