9 citations · 19 across the 11 of their papers we have counts for
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Continued fraction expression of the Mathieu series
Xiaodong Cao, Yoshio Tanigawa, Wenguang Zhai
In this paper, we represent a continued fraction expression of Mathieu series by a continued fraction formula of Ramanujan. As application, we obtain some new bounds for Mathieu se…
The fastest possible continued fraction approximations of a class of functions
Xiaodong Cao, Yoshio Tanigawa, Wenguang Zhai
The goal of this paper is to formulate a systematical method for constructing the fastest possible continued fraction approximations of a class of functions. The main tools are the…
Mean square of the error term in the asymmetric many dimensional divisor problem
Xiaodong Cao, Yoshio Tanigawa, Wenguang Zhai
Let $\ba=(a_1,a_2,\ldots,a_k)$, where are positive integers such that . Let $d(\ba;n)=\sum_{n_1^{a_1}\cdots n_k^{a_k}=n}1$…
On the Tong-type identity and the mean square of the error term for an extended Selberg class
Xiaodong Cao, Yoshio Tanigawa, Wenguang Zhai
In 1956, Tong established an asymptotic formula for the mean square of the error term in the summatory function of the Piltz divisor function The aim of this paper is to…