On the Pair Correlation of Zeros of the Riemann Zeta-Function

D. A. Goldston, S. M. Gonek, Ali E. Özlük, C. Snyder

Type: Article

Publication Date: 2000-01-01

Citations: 41

DOI: https://doi.org/10.1112/s0024611500012211

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Locations

Proceedings of the London Mathematical Society - View

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+ PDF Chat	Moments for primes in arithmetic progressions, I	2003	R. C. Vaughan
+ PDF Chat	Integral moments of L-functions	2005	J. Brian Conrey D. W. Farmer Jonathan P. Keating MO Rubinstein N. C. Snaith
+	Symmetry Transitions in Random Matrix Theory & L-functions	2008	Jonathan P. Keating B. E. Odgers
+	Integral moments of L-functions	2002	J. Brian Conrey David W. Farmer Jonathan P. Keating Michael Rubinstein N. C. Snaith
+	Prime pairs and the zeta function	2008	Jacob Korevaar
+ PDF Chat	Correlation of shifted values of L-functions in the hyperelliptic ensemble	2021	Pranendu Darbar Gopal Maiti
+ PDF Chat	On the second moment for primes in an arithmetic progression	2001	D. A. Goldston C. Y. Yıldırım
+	Gaps between zeros of Dedekind zeta-functions of quadratic number fields	2014	Caroline L. Turnage‐Butterbaugh
+ 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
+	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

Works Cited by This (16)

Action	Title	Year	Authors
+ PDF Chat	The Ternary Goldbach Problem	1985	D. R. Heath‐Brown
+ PDF Chat	Some singular series averages and the distribution of Goldbach numbers in short intervals	1995	John Friedlander D. A. Goldston
+	Pair Correlation of Zeros and Primes in Short Intervals	1987	D. A. Goldston Hugh L. Montgomery
+	On the pair correlation conjecture for zeros of the Riemann zeta-function.	1988	D. A. Goldston
+	Topics in Multiplicative Number Theory	1971	Hugh L. Montgomery
+	On the Barban-Davenport-Halberstam Theorem: VI	1976	C. Hooley
+	Simple Zeros of the Riemann Zeta-Function	1998	JB Conrey Amit Ghosh S. M. Gonek
+ PDF Chat	Simple zeros of the Riemann zeta-function	1993	A. Y. Cheer D. A. Goldston
+	A Note on Gaps between Zeros of the Zeta Function	1984	J. Brian Conrey Amit Ghosh S. M. Gonek
+	Random matrix theory and the Riemann zeros. I. Three- and four-point correlations	1995	E. Bogomolny Jonathan P. Keating