The mean value theorem of the Riemann zeta-function in the critical strip for short intervals

被引：0

作者：

Kiuchi, I ^{[1
]}

机构：

[1] Yamaguchi Univ, Fac Sci, Dept Math, Yamaguchi 7538512, Japan

来源：

NUMBER THEORY AND ITS APPLICATIONS | 1999年 / 2卷

关键词：

the Riemann zeta function; mean value formula; Atkinson's formula;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let E-sigma(t) denote the error term for the mean square formula of /zeta(sigma + it)/ in the critical strip 1/2 < sigma < 1, We study the mean value formula of the function /E-sigma(t + U) - E-sigma(t)/ for short intervals, which is the analogue of Jutila's result [6].

引用

页码：231 / 240

页数：10

共 50 条

[1] MEAN-VALUE THEOREM OF THE RIEMANN ZETA-FUNCTION OVER SHORT INTERVALS
SANKARANARAYANAN, A
SRINIVAS, K
JOURNAL OF NUMBER THEORY, 1993, 45 (03) : 320 - 326
[2] ON THE MEAN SQUARE OF THE RIEMANN ZETA-FUNCTION IN SHORT INTERVALS
Ivic, Aleksandar
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2009, 85 (99): : 1 - 17
[3] MEAN-VALUE THEOREM FOR THE RIEMANN ZETA-FUNCTION
HEATHBROWN, DR
MATHEMATIKA, 1978, 25 (50) : 177 - 184
[4] THE MEAN-SQUARE OF THE RIEMANN ZETA-FUNCTION IN THE CRITICAL STRIP II
MATSUMOTO, K
MEURMAN, T
ACTA ARITHMETICA, 1994, 68 (04) : 369 - 382
[5] MEAN-VALUE OF THE RIEMANN ZETA-FUNCTION ON THE CRITICAL LINE
BALASUBRAMANIAN, R
RAMACHANDRA, K
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1984, 93 (2-3): : 101 - 107
[6] Mean absolute value of the Riemann zeta-function in a critical stripe
Kukhta V.A.
Moscow University Mathematics Bulletin, 2010, 65 (5) : 220 - 222
[7] Universality of the Riemann zeta-function in short intervals
Laurincikas, Antanas
JOURNAL OF NUMBER THEORY, 2019, 204 : 279 - 295
[8] On some mean value results for the zeta-function in short intervals
Ivic, Aleksandar
ACTA ARITHMETICA, 2014, 162 (02) : 141 - 158
[9] Large Values of the Riemann Zeta-Function on Short Intervals of the Critical Line
Korolev, M. A.
DOKLADY MATHEMATICS, 2015, 91 (01) : 102 - 104
[10] On the divisor function and the Riemann zeta-function in short intervals
Aleksandar Ivić
The Ramanujan Journal, 2009, 19 : 207 - 224

← 1 2 3 4 5 →