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The large sieve

  • H. L. Montgomery (a1) and R. C. Vaughan (a2)


Let S(x) be a trigonometric polynomial,

where N > 0 and M are integers, the an are arbitrary complex numbers, and e(x) = e2πix. In its basic form, the large sieve of Linnik and Rényi is an inequality of the form



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  • ISSN: 0025-5793
  • EISSN: 2041-7942
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