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A note on the gaps between consecutive zeros of the Riemann zeta-function
Author(s):
H.
M.
Bui;
M.
B.
Milinovich;
N.
C.
Ng
Journal:
Proc. Amer. Math. Soc.
138
(2010),
4167-4175.
MSC (2010):
Primary 11M26;
Secondary 11M06
Posted:
May 28, 2010
MathSciNet review:
2680043
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Additional information
Abstract:
Assuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros of the Riemann zeta-function differ by at most 0.5155 times the average spacing and that infinitely often they differ by at least 2.6950 times the average spacing.
References:
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Additional Information:
H.
M.
Bui
Affiliation:
Mathematical Institute, University of Oxford, Oxford, OX1 3LB United Kingdom
Email:
hung.bui@maths.ox.ac.uk
M.
B.
Milinovich
Affiliation:
Department of Mathematics, University of Mississippi, University, Mississippi 38677
Email:
mbmilino@olemiss.edu
N.
C.
Ng
Affiliation:
Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, AB, Canada T1K 3M4
Email:
ng@cs.uleth.ca
DOI:
10.1090/S0002-9939-2010-10443-4
PII:
S 0002-9939(2010)10443-4
Keywords:
Distribution of zeros,
Riemann Hypothesis,
Riemann zeta-function
Received by editor(s):
September 5, 2009
Received by editor(s) in revised form:
February 9, 2010
Posted:
May 28, 2010
Additional Notes:
The first author was supported by an EPSRC Postdoctoral Fellowship
The second author was supported in part by a University of Mississippi College of Liberal Arts summer research grant
The third author was supported in part by an NSERC Discovery grant
Communicated by:
Ken Ono
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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