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

Saouter, Yannick; Trudgian, Tim; Demichel, Patrick


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 lower bound for the first x for which the difference is positive. Third, we use numerical computations to improve the final result.

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
Source: Mathematics of Computation


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