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- W3114303648 abstract "We show that as soon as h → ∞ $hrightarrow infty$ with X → ∞ $X rightarrow infty$ , almost all intervals ( x − h log X , x ] $(x-hlog X, x]$ with x ∈ ( X / 2 , X ] $x in (X/2, X]$ contain a product of at most two primes. In the proof we use Richert's weighted sieve, with the arithmetic information eventually coming from results of Deshouillers and Iwaniec on averages of Kloosterman sums." @default.
- W3114303648 created "2021-01-05" @default.
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- W3114303648 date "2022-03-11" @default.
- W3114303648 modified "2023-10-18" @default.
- W3114303648 title "Almost primes in almost all very short intervals" @default.
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- W3114303648 doi "https://doi.org/10.1112/jlms.12592" @default.
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