A new upper bound for |ζ(1+it)|
| dc.contributor.author | Trudgian, Timothy | |
| dc.date.accessioned | 2015-12-07T22:25:10Z | |
| dc.date.issued | 2014 | |
| dc.date.updated | 2015-12-07T09:32:35Z | |
| dc.description.abstract | It is known that ζ(1+ it)<(log t)2/3 when t> 1. This paper provides a new explicit estimate ζ(1+ it) ≤ 3/4 log t, for t≥ 3. This gives the best upper bound on ζ (1+ it) for t≤ 10 2̇ 105. | |
| dc.identifier.issn | 0004-9727 | |
| dc.identifier.uri | http://hdl.handle.net/1885/21141 | |
| dc.publisher | Australian Mathematics Publishing Association | |
| dc.source | Bulletin of the Australian Mathematical Society | |
| dc.title | A new upper bound for |ζ(1+it)| | |
| dc.type | Journal article | |
| local.bibliographicCitation.issue | 2 | |
| local.bibliographicCitation.lastpage | 264 | |
| local.bibliographicCitation.startpage | 259 | |
| local.contributor.affiliation | Trudgian, Timothy, College of Physical and Mathematical Sciences, ANU | |
| local.contributor.authoruid | Trudgian, Timothy, u3958358 | |
| local.description.notes | Imported from ARIES | |
| local.identifier.absfor | 010101 - Algebra and Number Theory | |
| local.identifier.absseo | 970101 - Expanding Knowledge in the Mathematical Sciences | |
| local.identifier.ariespublication | u5328909xPUB15 | |
| local.identifier.citationvolume | 89 | |
| local.identifier.doi | 10.1017/S0004972713000415 | |
| local.identifier.scopusID | 2-s2.0-84902188836 | |
| local.identifier.thomsonID | 000338416700010 | |
| local.type.status | Published Version |