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math.NT2020
On the Galois Theory of Generalized Laguerre Polynomials and Trimmed Exponential
Lior Bary-Soroker, Or Ben-Porath
Inspired by the work of Schur on the Taylor series of the exponential and Laguerre polynomials, we study the Galois theory of trimmed exponentials $f_{n,n+k}=\sum_{i=0}^{k} \frac{x…
math.NT2020★ 20 cited
Irreducibility of random polynomials: general measures
Lior Bary-Soroker, Dimitris Koukoulopoulos, Gady Kozma
Let be a probability measure on that is not a Dirac mass and that has finite support. We prove that if the coefficients of a monic polynomial $f(x)\in\mathbb{Z}[x]…