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The Mean Values of the Riemann Zeta-Function on the Critical Line - MaRDI portal

The Mean Values of the Riemann Zeta-Function on the Critical Line (Q3193140)

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Language	Label	Description	Also known as
English	The Mean Values of the Riemann Zeta-Function on the Critical Line	scientific article

Statements

scholarly article

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The Mean Values of the Riemann Zeta-Function on the Critical Line (English)

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Aleksandar Ivić

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Analytic Number Theory, Approximation Theory, and Special Functions

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publication date

15 October 2015

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zbMATH Keywords

Riemann zeta-function

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mean values

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moments

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-1-4939-0258-3_1

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THE MEAN VALUE OF THE ZETA-FUNCTION ON THE CRITICAL LINE

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The Mean Value of the Zeta-Function on the Critical Line

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A Mean Value Property of the Riemann Zeta-Function

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The mean-value of the Riemann zeta function

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An Improvement on a Theorem of Titchmarsh on the Mean Square of |ζ(12+it)|

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An application of the Hooley-Huxley contour

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The classical theory of zeta and \(L\)-functions.

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The Riemann hypothesis. A resource for the afficionado and virtuoso alike

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Integral moments of L-functions

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Lower order terms in the full moment conjecture for the Riemann zeta function

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High moments of the Riemann zeta-function

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Power mean values of the Riemann zeta‐function

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On the mean-square of the Riemann zeta-function on the critical line

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THE TWELFTH POWER MOMENT OF THE RIEMANN-FUNCTION

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The mean value theorem for the Riemann zeta‐function

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The Fourth Power Moment of the Riemann Zeta Function

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The distribution and moments of the error term in the Dirichlet divisor problem

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Sign changes of \(E(T)\), \(\Delta(x)\), and \(P(x)\)

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The zeta function on the critical line: Numerical evidence for moments and random matrix theory models

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On the Brun-Titchmarsh theorem.

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The twisted fourth moment of the Riemann zeta function

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Exponential sums and the Riemann zeta function v

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Large values of the error term in the divisor problem

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Large values of certain number-theoretic error terms

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Lectures on mean values of the Riemann zeta function

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Some problems on mean values of the Riemann zeta-function

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On the integral of the error term in the fourth moment of the Riemann zeta-function

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On mean values of some zeta-functions in the critical strip.

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The mean value of the zeta-function on \(\sigma =1\)

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The Mean Square of the Error Term for the Fourth Power Moment of the Zeta-Function

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On the fourth power moment of the Riemann zeta-function

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On the Zeros of the Error Term for the Mean Square of | ζ(½ + it) |

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On the higher moments of the error term in the divisor problem

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On Mean Values for Dirichlet's Polynomials and the Riemann Zeta-Function

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Riemann's zeta-function and the divisor problem. II

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Axiomatic Theory of L-Functions: the Selberg Class

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The Riemann zeta-function. Transl. from the Russian by Neal Koblitz

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Random matrix theory and \(\zeta(1/2+it)\).

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Mean square of the remainder term in the Dirichlet divisor problem

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Omega result for the mean square of the Riemann zeta function

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On the mean square formula of the error term in the Dirichlet divisor problem

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A note on the mean value of the zeta and L-functions. IV, V

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An explicit formula for the fourth power mean of the Riemann zeta- function

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CONTINUOUS LOWER BOUNDS FOR MOMENTS OF ZETA AND<i>L</i>‐FUNCTIONS

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Application of a Theorem of Montgomery and Vaughan to the Zeta-Function

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Lectures on the mean-value and Omega-theorems for the Riemann Zeta-function

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Moments of the Riemann zeta function

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ON VAN DER CORPUT'S METHOD AND THE ZETA-FUNCTION OF RIEMANN (V)

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Higher-Power Moments of δ(<i>x</i> ), E(<i>t</i> ) and P(<i>x</i> )

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Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function

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Kloosterman sums and a mean value for Dirichlet polynomials

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A note on the mean square of |ζ(½ + <i>it</i> )|

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On Some Exponential Sums

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On higher-power moments of E(t)

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On higher-power moments of Δ (x)

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Identifiers

zbMATH Open document ID

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10.1007/978-1-4939-0258-3_1

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3193140

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