On the upper bound for π₂(x)
Yingchun Cai, Minggao Lu (2003)
Acta Arithmetica
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Displaying similar documents to “Rosser's sieve”
On the upper bound for π₂(x)
The Goldston-Pintz-Yıldırım sieve and maximal gaps
Hakan Ali-John Seyalioglu (2009)
Acta Arithmetica
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A higher rank Selberg sieve and applications
Akshaa Vatwani (2018)
Czechoslovak Mathematical Journal
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We develop an axiomatic formulation of the higher rank version of the classical Selberg sieve. This allows us to derive a simplified proof of the Zhang and Maynard-Tao result on bounded gaps between primes. We also apply the sieve to other subsequences of the primes and obtain bounded gaps in various settings.
Bilinear form of the remainder term in the Rosser-Iwaniec sieve of dimension ϰ ∈ (1/2,1)
Jacek Pomykała (1989)
Acta Arithmetica
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Gaps between primes in Beatty sequences
Roger C. Baker, Liangyi Zhao (2016)
Acta Arithmetica
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We study the gaps between primes in Beatty sequences following the methods in the recent breakthrough by Maynard (2015).
A hybrid of theorems of Goldbach and Piatetski-Shapiro
Hongze Li (2003)
Acta Arithmetica
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A note on primes of the form p=aq² + 1
Kaisa Matomäki (2009)
Acta Arithmetica
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On the Difference Between Consecutive Primes.
D.R. Heath-Brown, H. Iwaniec (1979)
Inventiones mathematicae
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On 4/n = 1/x + 1/y + 1/z and Rosser's sieve
J. Sander (1991)
Acta Arithmetica
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A general class of sieve generated sequences
M. Wunderlich (1969)
Acta Arithmetica
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Primes with preassigned digits
Glyn Harman (2006)
Acta Arithmetica
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On sums over primes
Antal Balog (1985)
Banach Center Publications
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A weighted sieve of Brun's type
G. Greaves (1982)
Acta Arithmetica
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Sequences with bounded l.c.m. of each pair of terms II
Li-Xia Dai, Yong-Gao Chen (2006)
Acta Arithmetica
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