The number of primes in a short interval.

Lou Shituo; Yao Qi

doi:10.46298/hrj.1993.127

Lou Shituo ; Yao Qi - The number of primes in a short interval.

hrj:127 - Hardy-Ramanujan Journal, January 1, 1993, Volume 16 - 1993 - https://doi.org/10.46298/hrj.1993.127

The number of primes in a short interval.Article

Authors: Lou Shituo ¹; Yao Qi ¹

1 Dalhousie University [Halifax]

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

https://doi.org/10.46298/hrj.1993.127

Source: HAL:hal-01108692v1

Volume: Volume 16 - 1993

Published on: January 1, 1993

Imported on: March 3, 2015

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

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