A still sharper region where p(x) - li(x) is positive**
dc.contributor.author | Saputer, Yannick | |
dc.contributor.author | Trudgian, Timothy | |
dc.contributor.author | Demichel, Patrick | |
dc.date.accessioned | 2016-02-24T22:41:37Z | |
dc.date.issued | 2015 | |
dc.date.updated | 2016-02-24T10:13:41Z | |
dc.description.abstract | We 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.issn | 0025-5718 | |
dc.identifier.uri | http://hdl.handle.net/1885/98757 | |
dc.publisher | American Mathematical Society | |
dc.source | Mathematics of Computation | |
dc.title | A still sharper region where p(x) - li(x) is positive** | |
dc.type | Journal article | |
local.bibliographicCitation.issue | 295 | |
local.bibliographicCitation.lastpage | 2446 | |
local.bibliographicCitation.startpage | 2433 | |
local.contributor.affiliation | Saputer, Yannick, Institut Telecome Brest, Department Informatique | |
local.contributor.affiliation | Trudgian, Timothy, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Demichel, Patrick, Hewlett-Packard France | |
local.contributor.authoremail | u3958358@anu.edu.au | |
local.contributor.authoruid | Trudgian, Timothy, u3958358 | |
local.description.embargo | 2037-12-31 | |
local.description.notes | Imported from ARIES | |
local.identifier.absfor | 010101 - Algebra and Number Theory | |
local.identifier.ariespublication | U3488905xPUB7495 | |
local.identifier.citationvolume | 84 | |
local.identifier.doi | 10.1090/S0025-5718-2015-02930-5 | |
local.identifier.scopusID | 2-s2.0-84930860192 | |
local.identifier.uidSubmittedBy | U3488905 | |
local.type.status | Published Version |
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