I. Vyugin

activity

20122025

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math.CO2020

On some polynomial version on the sum-product problem for subgroups

Sofia Aleshina, Ilya Vyugin

We generalize two results about subgroups of multiplicative group of finite field of prime order. In particular, the lower bound on the cardinality of the set of values of polynomi…

math.CO2018

On the Bound of Inverse Images of a Polynomial Map

Ilya Vyugin

Let $f_{1} (x), \dots, f_{n} (x)$ be some polynomials. The upper bound on the number of $x \in F_{p}$ such that $f_{1} (x), \dots, f_{n} (x)$ are roots of unit of order $t$ is obtained. This…