Squarefree discriminants of polynomials with prime coefficients
Abstract
In this paper, we consider the family of monic polynomials with prime coefficients and the family of all polynomials with prime coefficients. We determine the number of f(x) in each of these families having: squarefree discriminant; Z[x]/(f(x)) as the maximal order in Q[x]/(f(x)).
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.