A hybrid of theorems of Goldbach and Piatetski-Shapiro

Hongze Li

Displaying similar documents to “A hybrid of theorems of Goldbach and Piatetski-Shapiro”

On the upper bound for π₂(x)

Yingchun Cai, Minggao Lu (2003)

Acta Arithmetica

Similarity:

The Goldston-Pintz-Yıldırım sieve and maximal gaps

Hakan Ali-John Seyalioglu (2009)

Acta Arithmetica

Similarity:

A note on primes of the form p=aq² + 1

Kaisa Matomäki (2009)

Acta Arithmetica

Similarity:

Primes with preassigned digits

Glyn Harman (2006)

Acta Arithmetica

Similarity:

Gaps between primes in Beatty sequences

Roger C. Baker, Liangyi Zhao (2016)

Acta Arithmetica

Similarity:

We study the gaps between primes in Beatty sequences following the methods in the recent breakthrough by Maynard (2015).

On 4/n = 1/x + 1/y + 1/z and Rosser's sieve

J. Sander (1991)

Acta Arithmetica

Similarity:

Rosser's sieve

Henryk Iwaniec (1980)

Acta Arithmetica

Similarity:

Primes in tuples IV: Density of small gaps between consecutive primes

Daniel Alan Goldston, János Pintz, Cem Yalçın Yıldırım (2013)

Acta Arithmetica

Similarity:

We prove that given any small but fixed η > 0, a positive proportion of all gaps between consecutive primes are smaller than η times the average gap. We show some unconditional and conditional quantitative results in this vein. In the results the dependence on η is given explicitly, providing a new quantitative way, in addition to that of the first paper in this series, of measuring the effect of the knowledge on the level of distribution of primes.