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The large sieve

  • H. L. Montgomery (a1) and R. C. Vaughan (a2)
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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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References
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2. Bombieri, E. and Davenport, H., “On the large sieve method ”, Abh. aus Zahlentheorie und Analysis Zur Erinnerung an Edmund Landau, Deut. Verlag Wiss., Berlin, 1968, 1122.
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Mathematika
  • ISSN: 0025-5793
  • EISSN: 2041-7942
  • URL: /core/journals/mathematika
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