Three researchers from Bristol University are seeking to develop methods for analysing the distribution of integer solutions to polynomial equations. How do you know when a polynomial equation has ...

A mathematician has built an algebraic solution to an equation that was once believed impossible to solve. The equations are fundamental to maths as well as science, where they have broad applications ...

Ah, math. Take an easy problem we all studied in our teens, scale it up by just a couple of steps, and suddenly you’re facing something that has stumped generations of the world’s best mathematicians.

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...

A polynomial parametrization for the group of integer two-by-two matrices with determinant one is given, solving an old open problem of Skolem and Beurkers. It follows that, for many Diophantine ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra’s oldest challenge – solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, ...