Litcius/Paper detail

Irreducible polynomials in quadratic semigroups

Wade Hindes, Reiyah Jacobs, Peter Ye

2023Journal of Number Theory13 citationsDOIOpen Access PDF

Abstract

We construct many irreducible polynomials within semigroups generated by sets of the form S = { x 2 + c 1 , … , x 2 + c s } under composition .

Topics & Concepts

MathematicsQuadratic equationPure mathematicsAlgebra over a fieldGeometryAdvanced Differential Equations and Dynamical SystemsMathematical Dynamics and FractalsFunctional Equations Stability Results