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...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awdur:	Teräväinen, J
Fformat:	Journal article
Cyhoeddwyd:	Cambridge University Press 2016

Eitemau Tebyg

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Cyhoeddwyd: (2013)

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Bounded length intervals containing two primes and an almost-prime II
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Almost primes in generalized Piatetski-Shapiro sequences
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Hardy is (almost) everywhere: nonlocality without inequalities for almost all entangled multipartite states
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Counting is almost all you need
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Uniform estimates for almost primes over finite fields
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β-Prime Spectrum of Stone Almost Distributive Lattices
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𝒩 -Prime Spectrum of Stone Almost Distributive Lattices
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On Rough Fuzzy Prime Ideals in Left Almost Semigroups
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Almost fixed-point-free automorphisms of prime order
gan: Wehrfritz Bertram
Cyhoeddwyd: (2011-06-01)

Lagrange's four squares theorem with one prime and three almost-prime variables
gan: Heath-Brown, D, et al.
Cyhoeddwyd: (2003)

Lagrange's four squares theorem with one prime and three almost--prime variables
gan: Heath-Brown, D, et al.
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Almost Fixed-Point-Free Automorphisms of Prime Power Order
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On fuzzy quasi-prime ideals in near left almost rings
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Calculation of almost all energy levels of baryons
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Almost none of the sequences of 0's and 1's are almost convergent
gan: Jeff Connor
Cyhoeddwyd: (1990-01-01)

Almost periodic processes and the existence of almost periodic solutions
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Some Basic Properties of Prime and Left Prime Ideals in Γ-Left Almost Rings
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Almost heaven /
gan: 219495 McNaught, Judith
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Almost the truth /
gan: 538408 Yorke, Margaret
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Almost heaven /
gan: 219495 McNaught, Judith
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Almost home /
gan: 218670 Macomber, Debbie
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Almost goodbye
gan: Mala Hayati Abdul Khir
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