Geodesic
Irreducibility of random polynomials of bounded degree
Discrete analysis (2021)

Voir la notice de l'article provenant de la source Scholastica

arXiv
It is known that random monic integral polynomials of bounded degree $d$ and integral coefficients distributed uniformly and independently in $[-H,H]$ are irreducible over $\mathbb{Z}$ with probability tending to $1$ as $H\to \infty$. In this paper, we give a general criterion for guaranteeing the same conclusion under much more general coefficient distributions, allowing them to be nonuniformly and dependently distributed over arbitrary sets.
Publié le : 
Huy Tuan Pham; Max Wenqiang Xu. Irreducibility of random polynomials of bounded degree. Discrete analysis (2021). http://geodesic.mathdoc.fr/item/DAS_2021_a20/
@article{DAS_2021_a20,
     author = {Huy Tuan Pham and Max Wenqiang Xu},
     title = {Irreducibility of random polynomials of bounded degree},
     journal = {Discrete analysis},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DAS_2021_a20/}
}
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