A new upper bound for lzeta(1 + it)l

dc.contributor.author	Trudgian, Tim
dc.date.accessioned	2014-04-10T05:58:39Z
dc.date.available	2014-04-10T05:58:39Z
dc.date.issued	2014-04-10
dc.description.abstract	It is known that $\zeta(1+ it)\ll (\log t)^{2/3}$ when $t\gg 1$. This paper provides a new explicit estimate \ $\|\zeta(1+ it)\|\leq \frac{3}{4} \log t$, for $t\geq 3$. This gives the best upper bound on $\|\zeta(1+ it)\|$ for $t\leq 10^{2\cdot 10^{5}}$.	en_AU
dc.format	6 pages	en_AU
dc.identifier.issn	0004-9727
dc.identifier.uri	http://hdl.handle.net/1885/11559
dc.publisher	Cambridge University Press	en_AU
dc.relation	http://purl.org/au-research/grants/arc/de120100173	en_AU
dc.rights	http://www.sherpa.ac.uk/romeo/issn/0004-9727/author can archive pre-print (ie pre-refereeing); author can archive post-print (ie final draft post-refereeing); subject to 12 month embargo, author can archive publisher's version/PDF	en_AU
dc.source	Bulletin of the Australian Mathematical Society 89.2 (2014): 259-264	en_AU
dc.source.uri	http://journal.austms.org.au/ojs/index.php/Bulletin/article/view/6826	en_AU
dc.subject	Zeta function	en_AU
dc.subject	explicit bound	en_AU
dc.title	A new upper bound for lzeta(1 + it)l	en_AU
dc.type	Journal article	en_AU
local.contributor.affiliation	Trudgian, Tim, College of Physical and Mathematical Sciences, The Australian National University
local.contributor.authoruid	u3958358	en_AU
local.publisher.url	http://www.cambridge.org/aus/	en_AU
local.type.status	Accepted Version	en_AU

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