A still sharper region where π(x) - li(x) is positive
Date
2013
Authors
Saouter, Yannick
Trudgian, Tim
Demichel, Patrick
Journal Title
Journal ISSN
Volume Title
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 lower bound for the first x for which the difference is positive. Third, we use numerical computations to improve the final result.
Description
Keywords
Skewes' number, prime counting function
Citation
Collections
Source
Mathematics of Computation
Type
Journal article
Book Title
Entity type
Access Statement
License Rights
DOI
Restricted until
Downloads
File
Description