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 7 条

[1] 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
[2] Lower bounds for the Riemann zeta function on short intervals of the critical line
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Archiv der Mathematik, 2015, 105 : 45 - 53
[3] Lower bounds for the Riemann zeta function on short intervals of the critical line
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ARCHIV DER MATHEMATIK, 2015, 105 (01) : 45 - 53
[4] FOURIER COEFFICIENTS ASSOCIATED WITH THE RIEMANN ZETA-FUNCTION
Basiuk, Y., V
Tarasyuk, S., I
CARPATHIAN MATHEMATICAL PUBLICATIONS, 2016, 8 (01) : 16 - 20
[5] DISTANCE FORMULAS AND INVARIANT SUBSPACES, WITH AN APPLICATION TO LOCALIZATION OF ZEROS OF THE RIEMANN ZETA-FUNCTION
NIKOLSKI, N
ANNALES DE L INSTITUT FOURIER, 1995, 45 (01) : 143 - 159
[6] New Computations of the Riemann Zeta Function on the Critical Line
Bober, Jonathan W.
Hiary, Ghaith A.
EXPERIMENTAL MATHEMATICS, 2018, 27 (02) : 125 - 137
[7] Mean-square values of the Riemann zeta function on arithmetic progressions
Kobayashi, Hirotaka
MONATSHEFTE FUR MATHEMATIK, 2024, 205 (04): : 787 - 803

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