On the Wiener Norm of Subsets of ℤp of Medium Size


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We give a lower bound for the Wiener norm of the characteristic function of a subset A from ℤp, where p is a prime number, in the case where exp((log p/log log p)1/3) ≤ |A| ≤ p/3.

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S. Konyagin

Steklov Mathematical Institute; Moscow State University

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Email: konyagin@mi.ras.ru
俄罗斯联邦, ul. Gubkina, 8, Moscow, 119991; Leninskie Gory, Moscow, 119992

I. Shkredov

Steklov Mathematical Institute; IITP RAS

Email: konyagin@mi.ras.ru
俄罗斯联邦, ul. Gubkina, 8, Moscow, 119991; Bolshoy Karetny per. 19, Moscow, 127994

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