Factorization of bivariate sparse polynomials

Francesco Amoroso, Martı́n Sombra

Type: Article

Publication Date: 2019-01-01

Citations: 3

DOI: https://doi.org/10.4064/aa171219-18-12

Abstract

We prove a function field analogue of a conjecture of Schinzel on the factorization of univariate polynomials over the rationals. We derive from it a finiteness theorem for the irreducible factorizations of the bivariate Laurent polynomials in families wi

Locations

Acta Arithmetica - View
arXiv (Cornell University) - View - PDF
Dipòsit Digital de la Universitat de Barcelona (Universitat de Barcelona) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

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Works Cited by This (10)

Action	Title	Year	Authors
+ PDF Chat	On the reducibility of polynomials and in particular of trinomials	1965	Andrzej Schinzel
+	The Red Book of Varieties and Schemes	1988	David Mumford
+ PDF Chat	On the factorization of lacunary polynomials	1999	H. W. Lenstra
+	Polynomials with Special Regard to Reducibility	2000	Andrzej Schinzel
+	Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps)	2007	Roberto Dvornicich Umberto Zannier
+ PDF Chat	Reducibility of lacunary polynomials I	1969	Andrzej Schinzel
+ PDF Chat	Unlikely intersections and multiple roots of sparse polynomials	2017	Francesco Amoroso Martı́n Sombra Umberto Zannier
+ PDF Chat	Hilbert irreducibility above algebraic groups	2010	Umberto Zannier
+	Bounded-degree factors of lacunary multivariate polynomials	2015	Bruno Grenet
+	Factoring bivariate sparse (lacunary) polynomials	2006	Martín Avendaño Térésa Krick Martı́n Sombra