A still sharper region where Ï€(x) - li(x) is positive
Saouter, Yannick; Trudgian, Tim; Demichel, Patrick
We consider the least number x for which a change of sign of Ï€(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.
|Collections||ANU Research Publications|
|Source:||Mathematics of Computation|
|Saouter et al A still sharper region 2014.pdf||240.75 kB||Adobe PDF|
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