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An improved upper bound for the error in the zero-counting formulae for Dirichlet L-functions and Dedekind zeta-functions

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Trudgian, Tim

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This paper contains new explicit upper bounds for the number of zeroes of Dirichlet L-functions and Dedekind zeta-functions in rectangles.

dc.contributor.authorTrudgian, Tim
dc.date.accessioned2014-04-11T04:33:17Z
dc.date.available2014-04-11T04:33:17Z
dc.identifier.issn0025-5718
dc.identifier.urihttp://hdl.handle.net/1885/11564
dc.description.abstractThis paper contains new explicit upper bounds for the number of zeroes of Dirichlet L-functions and Dedekind zeta-functions in rectangles.
dc.description.sponsorshipSupported by Australian Research Council DECRA Grant DE120100173
dc.format12 pages
dc.publisherAmerican Mathematical Society
dc.rightshttp://www.sherpa.ac.uk/romeo/issn/0025-5718/author can archive pre-print (ie pre-refereeing); author can archive post-print (ie final draft post-refereeing); author can archive publisher's version/PDF
dc.sourceMathematics of Computation
dc.subjectzero-counting formula
dc.subjectDirichlet L-functions
dc.subjectDedekind zeta-functions
dc.titleAn improved upper bound for the error in the zero-counting formulae for Dirichlet L-functions and Dedekind zeta-functions
dc.typeJournal article
local.description.notesFirst published in Mathematics of Computation in [2014], published by the American Mathematical Society
local.identifier.citationvolume84
dcterms.dateAccepted2014
dc.date.issued2014-04-11
local.identifier.absfor010101 - Algebra and Number Theory
local.identifier.ariespublicationu5328909xPUB69
local.publisher.urlhttp://www.ams.org/journals/
local.type.statusAccepted Version
local.contributor.affiliationTrudgian, Tim, Mathematical Sciences Institute, The Australian National University
dc.relationhttp://purl.org/au-research/grants/arc/de120100173
local.bibliographicCitation.issue293
local.bibliographicCitation.startpage1439
local.bibliographicCitation.lastpage1450
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
dc.date.updated2015-12-08T07:45:23Z
local.identifier.scopusID2-s2.0-84925250811
CollectionsANU Research Publications

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