58 citations · 373 across the 79 of their papers we have counts for
Showing 2024 · math.COShow all
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math.CO2024
On Fourier coefficients of sets with small doubling
Ilya D. Shkredov
Let be a subset of a finite abelian group such that has a small difference set and the density of is small. We prove that, counter--intuitively, the smallness (in…
math.CO2024
On common energies and sumsets
Ilya D. Shkredov
We obtain a polynomial criterion for a set to have a small doubling in terms of the common energy of its subsets.
math.CO2024
Uncertainty for convolutions of sets
Ilya D. Shkredov
The paper obtains the optimal form of the uncertainty principle in the special case of convolution of sets.
math.CO2024
On universal sets and sumsets
Ilya D. Shkredov
We study the concept of universal sets from the additive--combinatorial point of view. Among other results we obtain some applications of this type of uniformity to sets avoiding s…