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Dirichlet series obtained from the error term in the Dirichlet divisor problem |
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| Authors: | J. Furuya Y. Tanigawa W. Zhai |
| Affiliation: | 1. Department of Integrated Arts and Science, Okinawa National College of Technology, Nago, Okinawa, 905-2192, Japan 2. Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan 3. School of Mathematical Sciences, Shandong Normal University, Shandong, Jinan, 250014, People’s Republic of China |
| Abstract: | In this paper we consider the Dirichlet series obtained from the error term in the Dirichlet divisor problem. We shall prove their analytic continuations and determine the locations of poles. We shall also discuss the relation between our results and the conjecture of Lau and Tsang on the mean square estimate of the error term. |
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