Video library: I. D. Shkredov, Sum-products phenomenon and exponential sums

VIDEO LIBRARY


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. Shkredov^abc ^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
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.