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Conference in memory of A. A. Karatsuba on number theory and applications, 2015
January 31, 2015 13:00–13:25, Moscow, Steklov Mathematical Institute of the Russian Academy of Sciences
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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
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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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