Email this article On the Wiener Norm of Subsets of ℤp of Medium Size
- Authors: Konyagin S.V.1,2, Shkredov I.D.1,3
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Affiliations:
- Steklov Mathematical Institute
- Moscow State University
- IITP RAS
- Issue: Vol 218, No 5 (2016)
- Pages: 599-608
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238265
- DOI: https://doi.org/10.1007/s10958-016-3045-1
- ID: 238265
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Abstract
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.
About the authors
S. V. Konyagin
Steklov Mathematical Institute; Moscow State University
Author for correspondence.
Email: konyagin@mi.ras.ru
Russian Federation, ul. Gubkina, 8, Moscow, 119991; Leninskie Gory, Moscow, 119992
I. D. Shkredov
Steklov Mathematical Institute; IITP RAS
Email: konyagin@mi.ras.ru
Russian Federation, ul. Gubkina, 8, Moscow, 119991; Bolshoy Karetny per. 19, Moscow, 127994
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