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Conference in memory of A. A. Karatsuba on number theory and applications, 2015
January 30, 2015 17:00, Moscow, Steklov Mathematical Institute of the Russian Academy of Sciences
 


Sum-products phenomenon and exponential sums

I. D. Shkredovabc

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Steklov Mathematical Institute of Russian Academy of Sciences
c A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow
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I. D. Shkredov


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Abstract: We will talk on recent advances in sum-products phenomenon as well as its applications to upper bounds for exponential sums over multiplicative subgroups and powers of a primitive root.

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