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The Large Sieve

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Part of the Aspects of Mathematics book series (ASMA, volume 15)

Abstract

Let A be a thin set in Z n , and A N the intersection of A with the ball of diameter N centred at the origin. When n = 1 we have seen in §9.7 (as a consequence of Siegel’s theorem) that |A N | = O(N 1/2) when N → ∞. To prove a similar result when n ≥ 2 one needs a different method, based on the large sieve inequality (cf. [Co]).

Keywords

Prime Ideal Fourier Coefficient Finite Abelian Group Large Sieve Compact Torus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Fachmedien Wiesbaden 1997

Authors and Affiliations

  1. 1.Chaire d’Algèbre et GéométrieCollège de FranceParisFrance

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