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]).
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© 1997 Springer Fachmedien Wiesbaden
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Serre, JP. (1997). The Large Sieve. In: Brown, M. (eds) Lectures on the Mordell-Weil Theorem. Aspects of Mathematics, vol 15. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-10632-6_12
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DOI: https://doi.org/10.1007/978-3-663-10632-6_12
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-663-10634-0
Online ISBN: 978-3-663-10632-6
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