An iterative construction of irreducible polynomials reducible modulo every prime

Rafe Jones

Type: Article

Publication Date: 2012-07-25

Citations: 28

DOI: https://doi.org/10.1016/j.jalgebra.2012.05.020

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Locations

Journal of Algebra - View
arXiv (Cornell University) - View - PDF

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+ PDF Chat	Prime divisors in polynomial orbits over function fields	2016	Wade Hindes
+ PDF Chat	The Density of Primes in Orbits of zd+c	2014	Spencer Hamblen Richard H. Jones Kalyani Madhu
+	Eventually stable quadratic polynomials over $\mathbb{Q}$	2019	David DeMark Wade Hindes Rafe Jones Moses Misplon Michael Stoll Michael Stoneman
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+	On iterated extensions of number fields arising from quadratic polynomial maps	2019	Kota Yamamoto
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Works Cited by This (24)

Action	Title	Year	Authors
+	Algebraic Number Theory	1999	Jürgen Neukirch
+	On the irreducibility of the iterates of 𝑥ⁿ-𝑏	2001	Lynda Major Danielson Burton Fein
+	A Note on Stable Quadratic Polynomials over Fields of Characteristic Two	2009	Omran Ahmadi
+ PDF Chat	Galois theory of iterated endomorphisms	2009	Rafe Jones Jeremy Rouse
+ PDF Chat	On the length of critical orbits of stable quadratic polynomials	2010	Alina Ostafe Igor E. Shparlinski
+	Integer Polynomials That Are Reducible Modulo All Primes	1986	Rolf Brandl
+ PDF Chat	The density of prime divisors in the arithmetic dynamics of quadratic polynomials	2008	Rafe Jones
+	Settled polynomials over finite fields	2011	Rafe Jones Nigel Boston
+	Number Theory in Function Fields	2002	Michael Rosen
+ PDF Chat	Surjectivity Criteria for p-adic Representations, Part I	2003	Adrian Vasiu