On the upper bound for π₂(x)
Yingchun Cai, Minggao Lu (2003)
Acta Arithmetica
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Displaying similar documents to “Improving on the Brun-Titchmarsh theorem”
On the upper bound for π₂(x)
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.
The Goldston-Pintz-Yıldırım sieve and maximal gaps
Hakan Ali-John Seyalioglu (2009)
Acta Arithmetica
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An application of the Fouvry-Iwaniec theorem
Martin Huxley (1984)
Acta Arithmetica
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The linear sieve, revisited
Daniel Rawsthorne (1984)
Acta Arithmetica
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A hybrid of theorems of Goldbach and Piatetski-Shapiro
Hongze Li (2003)
Acta Arithmetica
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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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The k-tuple jumping champions among consecutive primes
Shaoji Feng, Xiaosheng Wu (2012)
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).
Primes with preassigned digits
Glyn Harman (2006)
Acta Arithmetica
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A note on primes between consecutive powers
Danilo Bazzanella (2009)
Rendiconti del Seminario Matematico della Università di Padova
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Rosser's sieve
Henryk Iwaniec (1980)
Acta Arithmetica
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On Sieve method and Goldbach problem
Yuan Wang (1978-1979)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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