41 citations · 180 across the 49 of their papers we have counts for
4 papers · 1 filter
Hilbert properties under base change in small extensions
Lior Bary-Soroker, Arno Fehm, Sebastian Petersen
We study the preservation of the Hilbert property and of the weak Hilbert property under base change in field extensions. In particular we show that these properties are preserved…
Product Sets of Arithmetic Progressions in Function Fields
Lior Bary-Soroker, Noam Goldgraber
We study product sets of finite arithmetic progressions of polynomials over a finite field. We prove a lower bound for the size of the product set, uniform in a wide range of param…
Irreducibility of Littlewood polynomials of special degrees
Lior Bary-Soroker, David Hokken, Gady Kozma +1
Let be sampled uniformly at random from the set of degree polynomials whose coefficients lie in . A folklore conjecture, known to hold under GRH, states that th…
Galois groups of random additive polynomials
Lior Bary-Soroker, Alexei Entin, Eilidh McKemmie
We study the distribution of the Galois group of a random -additive polynomial over a rational function field: For a power of a prime , let $f=X^{q^n}+a_{n-1}X^{q^{n-1}}+…