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math.NT2024
Full Galois groups of polynomials with slowly growing coefficients
Lior Bary-Soroker, Noam Goldgraber
Choose a polynomial uniformly at random from the set of all monic polynomials of degree with integer coefficients in the box . The main result of the paper assert…
math.NT2023
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…