A note on the gaps between consecutive zeros of the Riemann zetafunction
Authors:
H. M. Bui, M. B. Milinovich and N. C. Ng
Journal:
Proc. Amer. Math. Soc. 138 (2010), 41674175
MSC (2010):
Primary 11M26; Secondary 11M06
Published electronically:
May 28, 2010
MathSciNet review:
2680043
Fulltext PDF
Abstract 
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Additional Information
Abstract: Assuming the Riemann Hypothesis, we show that infinitely often consecutive nontrivial zeros of the Riemann zetafunction 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.
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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:
http://dx.doi.org/10.1090/S000299392010104434
PII:
S 00029939(2010)104434
Keywords:
Distribution of zeros,
Riemann Hypothesis,
Riemann zetafunction
Received by editor(s):
September 5, 2009
Received by editor(s) in revised form:
February 9, 2010
Published electronically:
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
Article copyright:
© Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
