Almost primes in almost all very short intervals
Matomäki Kaisa
Almost primes in almost all very short intervals
Matomäki Kaisa
WILEY
Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe2022081154920
https://urn.fi/URN:NBN:fi-fe2022081154920
Tiivistelmä
We show that as soon as h ->infinity$h\rightarrow \infty$ with X ->infinity$X \rightarrow \infty$, almost all intervals (x-hlogX,x]$(x-h\log X, x]$ with x is an element of(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.
Kokoelmat
- Rinnakkaistallenteet [19207]