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arXiv:2403.11814 [math.NT]AbstractReferencesReviewsResources

The error in the prime number theorem in short intervals

Ethan Simpson Lee

Published 2024-03-18, updated 2024-04-09Version 2

Using a new smoothing argument, we establish explicit versions of the prime number theorem in short intervals and consider the limiting behaviour of this result.

Comments: 13 pages, any comments or suggestions are warmly welcomed! (Extra lit review and minor typographical updates in update.)
Categories: math.NT
Subjects: 11N05, 11L20, 11Y35, 11M26, 11M06
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