On the function S(T) in the theory of the Riemann zeta-function

D. A. Goldston

Type: Article

Publication Date: 1987-10-01

Citations: 33

DOI: https://doi.org/10.1016/0022-314x(87)90059-x

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Locations

Journal of Number Theory - View

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Action	Title	Year	Authors
+	A Note on the Number of Primes in Short Intervals	1990	D. A. Goldston S. M. Gonek
+ PDF Chat	A note on the number of primes in short intervals	1990	D. A. Goldston S. M. Gonek
+	The argument of the Riemann zeta function	2005	A. A. Karatsuba Maxim Aleksandrovich Korolev
+ PDF Chat	On the mod-Gaussian convergence of a sum over primes	2013	Martin Wahl
+ PDF Chat	Random Matrix Theory and ζ(1/2+ it)	2000	Jonathan P. Keating N. C. Snaith
+ PDF Chat	On the number variance of zeta zeros and a conjecture of Berry	2023	Meghann Moriah Lugar Micah B. Milinovich Oscar E. Quesada-Herrera
+ PDF Chat	Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function	2014	Emanuel Carneiro Vorrapan Chandee Friedrich Littmann Micah B. Milinovich
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+	On the 𝑞-analogue of the Pair Correlation Conjecture via Fourier optimization	2022	Oscar E. Quesada-Herrera
+	Distribution of the zeros of the Riemann zeta function in longer intervals	2003	Tsz Ho Chan

Works Cited by This (13)

Action	Title	Year	Authors
+	Multiplicative Number Theory	1980	H. Davenport
+	Handbuch der Lehre von der Verteilung der Primzahlen	1911	Edmund Landau
+ PDF Chat	On a result of Littlewood concerning prime numbers	1982	D. A. Goldston
+ PDF Chat	The Distribution of Prime Numbers	1933	A. E. Ingham
+	Topics in Multiplicative Number Theory	1971	Hugh L. Montgomery
+	Extreme values of the Riemann zeta function	1977	Hugh L. Montgomery
+	Hilbert's Inequality	1974	Hugh L. Montgomery R. C. Vaughan
+	On the Riemann zeta-function—Mean value theorems and the distribution of \|S(T)\|	1983	Amit Ghosh
+	On the Remainder in the Formula for <i>N</i> (<i>T</i> ), the Number of Zeros of ζ(<i>s</i> ) in the Strip 0<<i>t</i> <<i>T</i>	1928	E. C. Titchmarsh
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown