The differences between consecutive primes, V

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.

ग्रंथसूची विवरण
मुख्य लेखक: Heath-Brown, D
स्वरूप: Journal article
भाषा:English
प्रकाशित: Oxford University Press 2019