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A still sharper region where p(x) - li(x) is positive**

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dc.contributor.authorSaputer, Yannick
dc.contributor.authorTrudgian, Timothy
dc.contributor.authorDemichel, Patrick
dc.date.accessioned2016-02-24T22:41:37Z
dc.date.issued2015
dc.date.updated2016-02-24T10:13:41Z
dc.description.abstractWe consider the least number x for which a change of sign of π(x) − li(x) occurs. First, we consider modifications of Lehman’s method that enable us to obtain better estimates of some error terms. Second, we establish a new smaller upper bound for the first x for which the difference is positive. Third, we use numerical computations to improve the final result.
dc.identifier.issn0025-5718
dc.identifier.urihttp://hdl.handle.net/1885/98757
dc.publisherAmerican Mathematical Society
dc.sourceMathematics of Computation
dc.titleA still sharper region where p(x) - li(x) is positive**
dc.typeJournal article
local.bibliographicCitation.issue295
local.bibliographicCitation.lastpage2446
local.bibliographicCitation.startpage2433
local.contributor.affiliationSaputer, Yannick, Institut Telecome Brest, Department Informatique
local.contributor.affiliationTrudgian, Timothy, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationDemichel, Patrick, Hewlett-Packard France
local.contributor.authoruidTrudgian, Timothy, u3958358
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010101 - Algebra and Number Theory
local.identifier.ariespublicationU3488905xPUB7495
local.identifier.citationvolume84
local.identifier.doi10.1090/S0025-5718-2015-02930-5
local.identifier.scopusID2-s2.0-84930860192
local.type.statusPublished Version

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