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Workshop on Extremal Graph Theory
June 6, 2014 14:00, Moscow
 


Subsets of $Z/pZ$ with small Wiener norm and arithmetic progressions

I. D. Shkredov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: It is proved that any subset of $Z/pZ$, p is a prime number, having small Wiener norm ($l_1$-norm of its Fourier transform) contains a subset which is close to be an arithmetic progression. We apply the obtained results to get some progress in so-called Littlewood conjecture in $Z/pZ$ as well as in a quantitative version of Beurling-Helson theorem.

Language: English

Website: http://tech.yandex.ru/events/workshops/msk-jun-2014/talks/1916

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