On the error term in the mean square formula for the Riemann zeta-function in the critical strip期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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On the error term in the mean square formula for the Riemann zeta-function in the critical strip

Authors:	Aleksander Ivić Kohji Matsumoto

Institution:	(1) Katedra Matematike RGF-a, Universiteta u Beogradu, Djuina 7, YU-11000 Beograd, Serbia (Yugoslavia);(2) Department of Mathematics Faculty of Education, Iwate University, 020 Ueda, Morioka, Japan;(3) Present address: Graduate School of Polymathematics, Nagoya University, Chikusa-ku, 464-01 Nagoya, Japan

Abstract:	For 1/2<<1 fixed, letE (T) denote the error term in the asymptotic formula for $\int_0^T {\|\zeta (\sigma + it)\|^2 dt}$ . We obtain some new bounds forE (T), and an _-result which is the analogue of the strongest _-result in the classical Dirichlet divisor problem.

Keywords:	11M06
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