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math.NT2017
On some double sums with multiplicative characters
Aleksei S. Volostnov
We obtain a new upper bound for binary sums with multiplicative characters over variables belong to some sets, having small additive doubling.
math.NT2016
Sums of multiplicative characters with additive convolutions
Ilya D. Shkredov, Aleksei S. Volostnov
In the paper we obtain new estimates for binary and ternary sums of multiplicative characters with additive convolutions of characteristic functions of sets, having small additive…