The Large Sieve

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


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]).


Prime Ideal Fourier Coefficient Finite Abelian Group Large Sieve Compact Torus 
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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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