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Conference in memory of A. A. Karatsuba on number theory and applications, 2015
January 31, 2015 13:00, Moscow, Steklov Mathematical Institute of the Russian Academy of Sciences


On the sums constructed by primes and linear recurrents of a special type

A. N. Vasil'ev

Kazakhstan Branch of Lomonosov Moscow State University, Astana

Abstract: In the talk, we will discuss rational exponential sums over linear recurrents of a special type, and the upper bound estimates for such sums. As an application, we will prove some additive theorems and, in particular, the analogue of N.P. Romanov's theorem.


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