Journal title
International Mathematics Research Notices
DOI
10.1093/imrn/rnz295
Issue
22
Volume
2021
Last updated
2023-05-19T22:49:34.507+01:00
Page
17514-17562
Abstract
We show that
∑ pn≤x pn+1−pn≥
√
pn
(pn+1−pn)≪εx3/5+ε
or any fixed ε>0. This improves a result of Matomäki, in which the exponent was 2/3.
∑ pn≤x pn+1−pn≥
√
pn
(pn+1−pn)≪εx3/5+ε
or any fixed ε>0. This improves a result of Matomäki, in which the exponent was 2/3.
Symplectic ID
1059882
Submitted to ORA
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Publication type
Journal Article
Publication date
14 Dec 2019