Inverse questions for the large sieve
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Publication:484089
DOI10.1007/s00039-014-0288-1zbMath1316.11085arXiv1311.6176OpenAlexW2032644407MaRDI QIDQ484089
Publication date: 18 December 2014
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.6176
arithmetic progressionlarge sieveadditive structuresum of setssquare-free numberinverse large sievequadratic structurequasi-square numbersmall sieveuniform fibres condition
Related Items (5)
Mixing time of the Chung-Diaconis-Graham random process ⋮ Additive decompositions of sets with restricted prime factors ⋮ The algebraicity of ill-distributed sets ⋮ Additive correlation and the inverse problem for the large sieve ⋮ Any small multiplicative subgroup is not a sumset
Cites Work
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- The inverse sieve problem in high dimensions
- A large sieve density estimate near \(\sigma = 1\)
- Additive decompositions of sets with restricted prime factors
- A Generalisation of the Theorem of Cauchy and Davenport
- The inverse Goldbach problem
- A mean value estimate for real character sums
- Explicit bounds on exponential sums and the scarcity of squarefree binomial coefficients
- A larger sieve
- A Note on the Large Sieve
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