A note on primes in short intervals

@inproceedings{Bazzanella2008ANO,
  title={A note on primes in short intervals},
  author={Danilo Bazzanella},
  year={2008}
}
This paper is concerned with the number of primes in short intervals. We present a method to use mean value estimates for the number of primes in (x, x+x] to obtain the asymptotic behavior of ψ(x+x)−ψ(x). The main idea is to use the properties of the exceptional set for the distribution of primes in short intervals. Mathematics Subject Classification (2000). 11NO5. 
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