Almost primes in almost all short intervals

Almost primes in almost all short intervals

Let Ek be the set of positive integers having exactly k prime factors. We show that almost all intervals [x, x + log1+ϵ x] contain E 3 numbers, and almost all intervals [x,x + log3.51 x] contain E 2 numbers. By this we mean that there are only o(X) integers 1 ⩽ x ⩽ X for which the mentioned interval...

Bibliografski detalji
Glavni autor:	Teräväinen, J
Format:	Journal article
Izdano:	Cambridge University Press 2016

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