The distribution of factorization patterns on linear families of polynomials over a finite field

Eda Cesaratto, Guillermo Matera, Mariana Pérez

Type: Preprint

Publication Date: 2014-01-01

Citations: 3

DOI: https://doi.org/10.48550/arxiv.1408.7014

View Publication

Locations

arXiv (Cornell University) - View - PDF
Conicet - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	The distribution of factorization patterns on linear families of polynomials over a finite field	2016	Eda Cesaratto Guillermo Matera Mariana Pérez
+	Factorization patterns on nonlinear families of univariate polynomials over a finite field	2018	Guillermo Matera Mariana Pérez Melina Privitelli
+	Factorization patterns on nonlinear families of univariate polynomials over a finite field	2018	Guillermo Matera Mariana Pérez Melina Privitelli
+	On the value set of small families of polynomials over a finite field, III	2015	Guillermo Matera Mariana Pérez Melina Privitelli
+ PDF Chat	On the enumeration of polynomials with prescribed factorization pattern	2022	Simon Kuttner Qiang Wang
+ PDF Chat	Factorization statistics of restricted polynomial specializations over large finite fields	2021	Alexei Entin
+	On the enumeration of polynomials with prescribed factorization pattern	2021	Simon Kuttner Qiang Wang
+	On fully split lacunary polynomials in finite fields	2011	Khodakhast Bibak Igor E. Shparlinski
+	On fully split lacunary polynomials in finite fields	2011	Khodakhast Bibak Igor E. Shparlinski
+	On the value set of small families of polynomials over a finite field, I	2014	Eda Cesaratto Guillermo Matera Mariana Pérez Melina Privitelli
+	On the value set of small families of polynomials over a finite field, I	2013	Eda Cesaratto Guillermo Matera Mariana Pérez Melina Privitelli
+	On a Conjecture on Irreducible Polynomials over Finite Fields with Restricted Coefficients	2023	Andrea Ferraguti Giacomo Micheli
+	Factorizations of Monic Polynomials	2004	Richard G. Swan Stephen McAdarn
+	Roots multiplicity and square-free factorization of polynomials using companion matrices	2013	Natalio H. Guersenzvaig Fernando Szechtman
+	An approach to the moments subset sum problem through systems of diagonal equations over finite fields	2024	Juan Francisco Gottig Mariana Pérez Melina Privitelli
+	Exceptional Scattered Polynomials	2017	Daniele Bartoli Yue Zhou
+	Factorization Statistics of Restricted Polynomial Specializations over Large Finite Fields	2018	Alexei Entin
+	Factorization Statistics of Restricted Polynomial Specializations over Large Finite Fields	2018	Alexei Entin
+	S-parts of values of univariate polynomials, binary forms and decomposable forms at integral points	2017	Yann Bugeaud Jan‐Hendrik Evertse Kálmán Győry
+	Roots multiplicity and square-free factorization of polynomials using companion matrices	2013	Natalio H. Guersenzvaig Fernando Szechtman

Works That Cite This (3)

Action	Title	Year	Authors
+	Explicit estimates for the number of rational points of singular complete intersections over a finite field	2015	Guillermo Matera Mariana Pérez Melina Privitelli
+ PDF Chat	On the value set of small families of polynomials over a finite field, III	2016	Guillermo Matera Mariana Pérez Melina Privitelli
+	Number of rational points of symmetric complete intersections over a finite field and applications	2015	Guillermo Matera Mariana Pérez Melina Privitelli

Works Cited by This (5)

Action	Title	Year	Authors
+	Introduction to Commutative Algebra and Algebraic Geometry	2012	Ernst Kunz
+	Equations for the projective closure and effective Nullstellensatz	1991	Leandro Caniglia André Galligo Joos Heintz
+ PDF Chat	On the value set of small families of polynomials over a finite field, III	2016	Guillermo Matera Mariana Pérez Melina Privitelli
+	Singularities of symmetric hypersurfaces and Reed-Solomon codes	2012	Melina Privitelli Guillermo Matera Antonio Cafure
+	Polar varieties, Bertini's theorems and number of points of singular complete intersections over a finite field	2012	Antonio Cafure Guillermo Matera Melina Privitelli