Hardy Ramanujan Journal |

We prove in this paper that for $y=x^{\theta}, \frac{11}{20}<\theta\leq\frac{7}{12}$ and $x$ large enough, we have $0.99\frac{y}{\log x}\leq\pi(x)-\pi(x-y)\leq1.01\frac{y}{\log x}$.

Source : oai:HAL:hal-01108692v1

Volume: Volume 16

Published on: January 1, 1993

Submitted on: March 3, 2015

Keywords: Heath-Brown's proof of Huxley's result, good set,primes in a short interval,[MATH] Mathematics [math]

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