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

Date

2015

Authors

Saputer, Yannick
Trudgian, Timothy
Demichel, Patrick

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Publisher

American Mathematical Society

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.

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Citation

Source

Mathematics of Computation

Type

Journal article

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Restricted until

2037-12-31