58 citations · 373 across the 79 of their papers we have counts for
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math.NT2013★ 2 cited
On exponential sums over multiplicative subgroups of medium size
Ilya D. Shkredov
In the paper we obtain some new upper bounds for exponential sums over multiplicative subgroups G of F^*_p having sizes in the range [p^{c_1}, p^{c_2}], where c_1,c_2 are some abso…
math.NT2013
Sumsets in quadratic residues
Ilya D. Shkredov
We describe all sets $A \subseteq \F_p$ which represent the quadratic residues $R \subseteq \F_p$ as and . Also, we consider the case of an approximate equali…
math.NT2013★ 6 cited
Intersections of multiplicative subgroups and Heilbronn's exponential sum
Ilya D. Shkredov, Elena V. Solodkova, Ilya V. Vyugin
The paper is devoted to some applications of Stepanov method. In the first part of the paper we obtain the estimate of the cardinality of the set, which is obtained as an intersect…