We define a power compositional sextic polynomial to be a monic sextic polynomial f(x) := h(xd) ϵ ℤ[x], where h(x) is an irreducible quadratic or cubic polynomial, and d = 3 or d = 2, respectively. In ...

Differential Galois theory extends the classical study of algebraic symmetries into the realm of differential equations. This area investigates the relationship between a differential equation’s ...

Arithmetic dynamics investigates the behaviour of iterated functions—often polynomials or rational maps—over number fields and function fields, while Galois theory provides the framework to analyse ...

One of the ways that Pi Mu Epsilon promotes scholarship in mathematics is through the publishing of the Pi Mu Epsilon Journal. The sole purpose of this journal is to present papers and mathematical ...

Hopefully this is the right place, I debated whether here or Networking was the place for it.<BR><BR>Anyway, I'm looking for some help understanding how FEC works. To understand this, I think I need ...

The tragic tale of Évariste Galois (1811–1832), a mathematical prodigy who died in a duel at the tender age of 20, is one of the more dramatic stories in the history of mathematics. Évariste Galois.