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

被引：8

作者：

Ivic, A ^{[1
]}

Matsumoto, K ^{[1
]}

机构：

[1] IWATE UNIV,FAC EDUC,DEPT MATH,MORIOKA,IWATE 020,JAPAN

来源：

MONATSHEFTE FUR MATHEMATIK | 1996年 / 121卷 / 03期

关键词：

Riemann zeta-function; mean square; error term; Atkinson's formula;

D O I：

10.1007/BF01298951

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For 1/2 < sigma < 1 fixed, let E(sigma)(T) denote the error term in the asymptotic formula integral(0)(T) \zeta(sigma+it)\(2)dt. We obtain some new bounds for E(sigma)(T), and an Omega(-)-result which is the analogue of the strongest Omega(-)-result in the classical Dirichlet divisor problem.

引用

页码：213 / 229

页数：17

共 17 条

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