The behaviour of the Riemann zeta‐function on the critical line

R. R. Hall

Type: Article

Publication Date: 1999-12-01

Citations: 44

DOI: https://doi.org/10.1112/s0025579300007762

View Publication

Locations

Mathematika - View

Similar Works

Action	Title	Year	Authors
+	The Mean Value of the Zeta-Function on the Critical Line	1930	J. R. Wilton
+	The Mean-Value of the Zeta-Function on the Critical Line	1928	E. C. Titchmarsh
+	The Mean Value of the Zeta-Function on the Critical Line	1942	F. V. Atkinson
+	On the value Distribution of the Zeta-Function on the Critical Line	1983	Matti Jutila
+ PDF Chat	The Zeros of Riemann's Zeta-Function on the Critical Line	1926	M. Fekete
+	On the Riemann Zeta-Function	1926	J. E. Littlewood
+ PDF Chat	THE DISTRIBUTION OF THE LOGARITHMIC DERIVATIVE OF THE RIEMANN ZETA-FUNCTION	2014	Stephen Lester
+	Riemann zeta function on the critical line	1985	Antanas Laurinčikas
+	A Mean Value Theorem for the Riemann Zeta-Function at its Relative Extrema on the Critical Line	1985	J. Brian Conrey Amit Ghosh
+	The Zeros of the Derivative of the Riemann Zeta Function Near the Critical Line	2008	Haseo Ki
+	The argument of the Riemann zeta function	2005	A. A. Karatsuba Maxim Aleksandrovich Korolev
+	Mean-value of the Riemann zeta-function on the critical line	1984	R. Balasubramanian K. Ramachandra
+	The Distribution of the Logarithmic Derivative of the Riemann Zeta Function	1996	Charng Rang Guo
+	Simple Zeros of the Riemann Zeta-Function on the Critical Line	1979	D. R. Heath‐Brown
+	The Mean Values of the Riemann Zeta-Function on the Critical Line	2014	Aleksandar Ivić
+	Moments of the Riemann zeta-function on the critical line	1986	Антанас П Лауринчикас
+ PDF Chat	On the zeros of the Riemann zeta function in the critical strip	1979	Richard P. Brent
+	On the Riemann Zeta Function	1969	Robert Spira
+	The Riemann zeta-function	1982	D. R. Heath‐Brown
+	Mean values of the Riemann zeta-function on the critical line	1995	K.M. Tsang

Works That Cite This (44)

Action	Title	Year	Authors
+ PDF Chat	Gaps between zeros of the Riemann zeta-function	2017	Hung M. Bui Micah B. Milinovich
+ PDF Chat	GAPS BETWEEN ZEROS OF DEDEKIND ZETA-FUNCTIONS OF QUADRATIC NUMBER FIELDS. II	2016	Hung M. Bui Winston Heap Caroline L. Turnage‐Butterbaugh
+	On Sums of Sums Involving the Von Mangoldt Function	2024	Isao Kiuchi Wataru Takeda
+ PDF Chat	On r‐gaps between zeros of the Riemann zeta‐function	2018	J. Brian Conrey Caroline L. Turnage‐Butterbaugh
+	Simple zeros and discrete moments of the derivative of the Riemann zeta-function	2005	Ramūnas Garunks ̆tis Jörn Steuding
+	On large distances between consecutive zeros of the Riemann zeta-function	2008	Maxim Aleksandrovich Korolev
+ PDF Chat	Joint Moments of Higher Order Derivatives of CUE Characteristic Polynomials I: Asymptotic Formulae	2024	Jonathan P. Keating Fei Wei
+	Gaps between zeros of Dedekind zeta-functions of quadratic number fields	2014	Caroline L. Turnage‐Butterbaugh
+	Gaps between zeros of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="normal">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> L-functions	2015	Owen Barrett Brian McDonald Steven J. Miller Patrick J. Ryan Caroline L. Turnage‐Butterbaugh Karl Winsor
+	Mean square of the derivatives of Hardy's Z-function	2019	T. Makoto Minamide Yoshio Tanigawa

Works Cited by This (16)

Action	Title	Year	Authors
+	The Riemann Zeta-Function	1992	A. A. Karatsuba Сергей Воронин
+	A Note on Gaps between Zeros of the Zeta Function	1984	J. Brian Conrey Amit Ghosh S. M. Gonek
+ PDF Chat	Large gaps between zeros of the zeta‐function	1986	J. Brian Conrey Amit Ghosh S. M. Gonek
+	THE APPROXIMATE FUNCTIONAL EQUATION FOR ζ<sup>2</sup>(<i>s</i>)	1938	E. C. Titchmarsh
+	The Fourth Power Moment of the Riemann Zeta Function	1979	D. R. Heath‐Brown
+ PDF Chat	Hardy’s inequality and its extensions	1961	Paul R. Beesack
+	ON THE DISTRIBUTION OF GAPS BETWEEN ZEROS OF THE ZETA-FUNCTION	1985	J. Brian Conrey Amit Ghosh D. A. Goldston S. M. Gonek D. R. Heath‐Brown
+	Mean-Value Theorems in the Theory of the Riemann Zeta-Function	1928	A. E. Ingham
+ PDF Chat	Contributions to the theory of the riemann zeta-function and the theory of the distribution of primes	1916	G. H. Hardy J. E. Littlewood
+	A Mean Value Theorem for the Riemann Zeta-Function at its Relative Extrema on the Critical Line	1985	J. Brian Conrey Amit Ghosh