ON THE PAIR CORRELATION OF ZEROS OF THE RIEMANN ZETA-FUNCTION

To study the distribution of pairs of zeros of the Riemann zeta-function, Montgomery introduced the function $$ F(\alpha) = F_T(\alpha) = \left({T\over 2\pi}\log T\right)^{-1} \sum_{0<\gamma,\gamma ' \le T} T^{i\alpha(\gamma -\gamma ')}w(\gamma-\gamma '), $$ where $\alpha$ is real...

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Bibliographic Details

Published in:	Proceedings of the London Mathematical Society Vol. 80; no. 1; pp. 31 - 49
Main Authors:	GOLDSTON, D. A., GONEK, S. M., ÖZLÜK, A. E., SNYDER, C.
Format:	Journal Article
Language:	English
Published:	Cambridge University Press 01.01.2000 Oxford University Press
Subjects:	Generalized Riemann Hypothesis Riemann zeta-function twin primes Riemann zeta-function twin primes Generalized Riemann Hypothesis
ISSN:	0024-6115, 1460-244X
Online Access:	Get full text
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