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On sums of sparse prime subsets

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Publication:2391999
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DOI10.1007/s10114-013-2488-2zbMath1328.11099arXiv1206.2473OpenAlexW2064193169MaRDI QIDQ2391999

Hongze Li, Zhen Cui, Bo Qing Xue

Publication date: 6 August 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2473

zbMATH Keywords

circle methoddensitysubsetssubsets of the primessifted numbers


Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) Density, gaps, topology (11B05) Arithmetic combinatorics; higher degree uniformity (11B30)


Related Items

Goldbach numbers in short intervals



Cites Work

  • Unnamed Item
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  • Exceptional set of Goldbach number
  • Roth's theorem in the primes
  • Additive properties of dense subsets of sifted sequences
  • The primes contain arbitrarily long arithmetic progressions
  • Über Summen von Primzahlen und Primzahlquadraten
  • On sums of sets of primes with positive relative density
  • The 𝑘^{𝑡ℎ} prime is greater than 𝑘(ln𝑘+lnln𝑘-1) for 𝑘≥2
  • Sums of positive density subsets of the primes
  • Integers free of small prime factors in arithmetic progressions
  • A note on additive properties of dense subsets of sifted sequences
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