Some new infinite families of monogenic polynomials with non-squarefree discriminant
Lenny Jones
Abstract
In previous work, a method of Kedlaya was modified to construct explicit infinite families of monogenic polynomials of degree $p$, for any prime $p\ge 3$, having non-squarefree discriminant. In this article, we use a different approach, which allows us to
Topics & Concepts
Square-free integerMathematicsDiscriminantPrime (order theory)Degree (music)CombinatoricsPure mathematicsDiscrete mathematicsArtificial intelligenceAcousticsPhysicsComputer scienceAlgebraic and Geometric AnalysisAdvanced Mathematical Theories and ApplicationsAdvanced Mathematical Theories