On the wiener norm of subsets of [Z.sub.p] of medium size

We give a lower bound for the Wiener norm of the characteristic function of a subset A from [Z.sub.p], where p is a prime number, in the case where exp([(log p/ log log p).sup.1/3]) [less than or equal to] [absolute value of (A)] < p/3.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2016-11, Vol.218 (5), p.599
Hauptverfasser: Konyagin, S.V, Shkredov, I.D
Format: Artikel
Sprache:eng
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Zusammenfassung:We give a lower bound for the Wiener norm of the characteristic function of a subset A from [Z.sub.p], where p is a prime number, in the case where exp([(log p/ log log p).sup.1/3]) [less than or equal to] [absolute value of (A)] < p/3.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-016-3045-1